2256517144 has 32 divisors (see below), whose sum is σ = 5002135200. Its totient is φ = 933730560.

The previous prime is 2256517129. The next prime is 2256517147. The reversal of 2256517144 is 4417156522.

2256517144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256517147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693117 + ... + 696364.

It is an arithmetic number, because the mean of its divisors is an integer number (156316725).

Almost surely, 2^2256517144 is an apocalyptic number.

It is an amenable number.

2256517144 is an abundant number, since it is smaller than the sum of its proper divisors (2745618056).

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

2256517144 is a wasteful number, since it uses less digits than its factorization.

2256517144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389523 (or 1389519 counting only the distinct ones).

The product of its digits is 67200, while the sum is 37.

The square root of 2256517144 is about 47502.8119588725. The cubic root of 2256517144 is about 1311.6346441409.

The spelling of 2256517144 in words is "two billion, two hundred fifty-six million, five hundred seventeen thousand, one hundred forty-four".