2256457000 has 64 divisors (see below), whose sum is σ = 6034429440. Its totient is φ = 773640000.

The previous prime is 2256456989. The next prime is 2256457009. The reversal of 2256457000 is 7546522.

2256457000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2256457009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154176 + ... + 168175.

It is an arithmetic number, because the mean of its divisors is an integer number (94287960).

Almost surely, 2^2256457000 is an apocalyptic number.

2256457000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256457000 is an abundant number, since it is smaller than the sum of its proper divisors (3777972440).

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

2256457000 is a wasteful number, since it uses less digits than its factorization.

2256457000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322379 (or 322365 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 2256457000 is about 47502.1788973937. The cubic root of 2256457000 is about 1311.6229908348.

The spelling of 2256457000 in words is "two billion, two hundred fifty-six million, four hundred fifty-seven thousand".