2256575640 has 64 divisors (see below), whose sum is σ = 7385160960. Its totient is φ = 547048320.

The previous prime is 2256575639. The next prime is 2256575677. The reversal of 2256575640 is 465756522.

It is a junction number, because it is equal to n+sod(n) for n = 2256575592 and 2256575601.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 853444 + ... + 856083.

It is an arithmetic number, because the mean of its divisors is an integer number (115393140).

Almost surely, 2^2256575640 is an apocalyptic number.

2256575640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256575640 is an abundant number, since it is smaller than the sum of its proper divisors (5128585320).

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

2256575640 is a wasteful number, since it uses less digits than its factorization.

2256575640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709552 (or 1709548 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The square root of 2256575640 is about 47503.4276658011. The cubic root of 2256575640 is about 1311.6459779372.

The spelling of 2256575640 in words is "two billion, two hundred fifty-six million, five hundred seventy-five thousand, six hundred forty".