2256726756 has 96 divisors (see below), whose sum is σ = 5610084480. Its totient is φ = 704793600.

The previous prime is 2256726749. The next prime is 2256726779. The reversal of 2256726756 is 6576276522.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3951951 + ... + 3952521.

It is an arithmetic number, because the mean of its divisors is an integer number (58438380).

Almost surely, 2^2256726756 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 2256726756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805042240).

2256726756 is an abundant number, since it is smaller than the sum of its proper divisors (3353357724).

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

2256726756 is a wasteful number, since it uses less digits than its factorization.

2256726756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 923 counting only the distinct ones).

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

The square root of 2256726756 is about 47505.0182191313. The cubic root of 2256726756 is about 1311.6752562629.

The spelling of 2256726756 in words is "two billion, two hundred fifty-six million, seven hundred twenty-six thousand, seven hundred fifty-six".