2256656772 has 48 divisors (see below), whose sum is σ = 5596601472. Its totient is φ = 705262080.

The previous prime is 2256656723. The next prime is 2256656783. The reversal of 2256656772 is 2776566522.

It is a super-2 number, since 2×2256656772² = 10184999573226919968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32622 + ... + 74682.

It is an arithmetic number, because the mean of its divisors is an integer number (116595864).

Almost surely, 2^2256656772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256656772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798300736).

2256656772 is an abundant number, since it is smaller than the sum of its proper divisors (3339944700).

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

2256656772 is a wasteful number, since it uses less digits than its factorization.

2256656772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42348 (or 42346 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

The square root of 2256656772 is about 47504.2816175553. The cubic root of 2256656772 is about 1311.6616972103.

The spelling of 2256656772 in words is "two billion, two hundred fifty-six million, six hundred fifty-six thousand, seven hundred seventy-two".