2611256792 has 64 divisors (see below), whose sum is σ = 5390496000. Its totient is φ = 1180358784.

The previous prime is 2611256701. The next prime is 2611256801. The reversal of 2611256792 is 2976521162.

It is a super-2 number, since 2×2611256792² = 13637324067532262528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2562059 + ... + 2563077.

It is an arithmetic number, because the mean of its divisors is an integer number (84226500).

Almost surely, 2^2611256792 is an apocalyptic number.

It is an amenable number.

2611256792 is an abundant number, since it is smaller than the sum of its proper divisors (2779239208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2611256792 is a wasteful number, since it uses less digits than its factorization.

2611256792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1796 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 2611256792 is about 51100.4578453070. The cubic root of 2611256792 is about 1377.0504797710.

The spelling of 2611256792 in words is "two billion, six hundred eleven million, two hundred fifty-six thousand, seven hundred ninety-two".