2256460640 has 48 divisors (see below), whose sum is σ = 6092446752. Its totient is φ = 773643264.

The previous prime is 2256460621. The next prime is 2256460663. The reversal of 2256460640 is 460646522.

It is a super-2 number, since 2×2256460640² = 10183229239738419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2256460640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006229 + ... + 1008468.

It is an arithmetic number, because the mean of its divisors is an integer number (126925974).

Almost surely, 2^2256460640 is an apocalyptic number.

2256460640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256460640 is an abundant number, since it is smaller than the sum of its proper divisors (3835986112).

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

2256460640 is a wasteful number, since it uses less digits than its factorization.

2256460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014719 (or 2014711 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 2256460640 is about 47502.2172114102. The cubic root of 2256460640 is about 1311.6236961153.

The spelling of 2256460640 in words is "two billion, two hundred fifty-six million, four hundred sixty thousand, six hundred forty".