2256906528 has 36 divisors (see below), whose sum is σ = 6418078758. Its totient is φ = 752302080.

The previous prime is 2256906521. The next prime is 2256906563. The reversal of 2256906528 is 8256096522.

2256906528 is a `hidden beast` number, since 2 + 2 + 569 + 0 + 65 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2124472464 + 132434064 = 46092^2 + 11508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2256906528² = 10187254152258029568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2256906521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3917953 + ... + 3918528.

Almost surely, 2^2256906528 is an apocalyptic number.

It is an amenable number.

2256906528 is an abundant number, since it is smaller than the sum of its proper divisors (4161172230).

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

2256906528 is a wasteful number, since it uses less digits than its factorization.

2256906528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836497 (or 7836486 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2256906528 is about 47506.9103183947. The cubic root of 2256906528 is about 1311.7100849105.

The spelling of 2256906528 in words is "two billion, two hundred fifty-six million, nine hundred six thousand, five hundred twenty-eight".