2165272711 has 24 divisors (see below), whose sum is σ = 2670694416. Its totient is φ = 1744323840.

The previous prime is 2165272687. The next prime is 2165272741. The reversal of 2165272711 is 1172725612.

It is not a de Polignac number, because 2165272711 - 2¹¹ = 2165270663 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165272741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807505 + ... + 810181.

It is an arithmetic number, because the mean of its divisors is an integer number (111278934).

Almost surely, 2^2165272711 is an apocalyptic number.

2165272711 is a deficient number, since it is larger than the sum of its proper divisors (505421705).

2165272711 is a wasteful number, since it uses less digits than its factorization.

2165272711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3672 counting only the distinct ones).

The product of its digits is 11760, while the sum is 34.

The square root of 2165272711 is about 46532.4909176373. The cubic root of 2165272711 is about 1293.7117844562.

The spelling of 2165272711 in words is "two billion, one hundred sixty-five million, two hundred seventy-two thousand, seven hundred eleven".