2256764688 has 240 divisors, whose sum is σ = 7019550720. Its totient is φ = 673591296.

The previous prime is 2256764677. The next prime is 2256764689. The reversal of 2256764688 is 8864676522.

It is not an unprimeable number, because it can be changed into a prime (2256764689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5892145 + ... + 5892527.

It is an arithmetic number, because the mean of its divisors is an integer number (29248128).

Almost surely, 2^2256764688 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 2256764688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509775360).

2256764688 is an abundant number, since it is smaller than the sum of its proper divisors (4762786032).

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

2256764688 is a wasteful number, since it uses less digits than its factorization.

2256764688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 2256764688 is about 47505.4174594856. The cubic root of 2256764688 is about 1311.6826052824.

The spelling of 2256764688 in words is "two billion, two hundred fifty-six million, seven hundred sixty-four thousand, six hundred eighty-eight".