Why does the most negative int value cause an error about ambiguous function overloads?

I'm learning about function overloading in C++ and came across this:

void display(int a)
{
    cout << "int" << endl;
}

void display(unsigned a)
{
    cout << "unsigned" << endl;
}

int main()
{
    int i = -2147483648;
    cout << i << endl; //will display -2147483648
    display(-2147483648);
}

From what I understood, any value given in the int range (in my case int is 4 byte) will call display(int) and any value outside this range will be ambiguous (since the compiler cannot decide which function to call). It is valid for the complete range of int values except its min value i.e. -2147483648 where compilation fails with the error

call of overloaded display(long int) is ambiguous

But taking the same value to an int and printing the value gives 2147483648. I'm literally confused with this behavior.

Why is this behavior observed only when the most negative number is passed? (The behavior is the same if a short is used with -32768 - in fact, in any case where the negative number and positive number have the same binary representation)

Compiler used: g++ (GCC) 4.8.5

This is a very subtle error. What you are seeing is a consequence of there being no negative integer literals in C++. If we look at [lex.icon] we get that a integer-literal,

integer-literal
        decimal-literal integer-suffix_opt
        [...]

can be a decimal-literal,

decimal-literal:
        nonzero-digit
        decimal-literal ’ _opt digit

where digit is [0-9] and nonzero-digit is [1-9] and the suffix par can be one of u, U, l, L, ll, or LL. Nowhere in here does it include - as being part of the decimal literal.

In §2.13.2, we also have:

An integer literal is a sequence of digits that has no period or exponent part, with optional separating single quotes that are ignored when determining its value. An integer literal may have a prefix that specifies its base and a suffix that specifies its type. The lexically first digit of the sequence of digits is the most significant. A decimal integer literal (base ten) begins with a digit other than 0 and consists of a sequence of decimal digits.

^{(emphasis mine)}

Which means the - in -2147483648 is the unary operator -. That means -2147483648 is actually treated as -1 * (2147483648). Since 2147483648 is one too many for your int it is promoted to a long int and the ambiguity comes from that not matching.

If you want to get the minimum or maximum value for a type in a portable manner you can use:

std::numeric_limits<type>::min();  // or max()