use of std::less in std::map does not compile

I am unable to understand why does following function not compile

#include <iostream>
#include <map>

int main(){
  std::map<int, int, std::less<int>> myMap(std::less<int>());
  myMap[2] = 2;
  std::cout << myMap[2] << std::endl;
  return 0;
}

The error message is as follows -

std_less_check.cpp: In function ‘int main()’:
std_less_check.cpp:6:10: warning: pointer to a function used in arithmetic [-Wpointer-arith]
   myMap[2] = 2;
          ^
std_less_check.cpp:6:14: error: assignment of read-only location ‘*(myMap + 2)’
   myMap[2] = 2;
              ^
std_less_check.cpp:6:14: error: cannot convert ‘int’ to ‘std::map<int, int, std::less<int> >(std::less<int> (*)())’ in assignment
std_less_check.cpp:7:23: warning: pointer to a function used in arithmetic [-Wpointer-arith]
   std::cout << myMap[2] << std::endl;

while following compiles successfully

#include <iostream>
#include <map>

int main(){
  std::map<int, int, std::less<int>> myMap(std::less<int>{});
  myMap[2] = 2;
  std::cout << myMap[2] << std::endl;
  return 0;
}

Could someone please help me with this?