2257964000 has 48 divisors (see below), whose sum is σ = 5547827376. Its totient is φ = 903184000.

The previous prime is 2257963997. The next prime is 2257964003. The reversal of 2257964000 is 4697522.

It is an interprime number because it is at equal distance from previous prime (2257963997) and next prime (2257964003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257964003) 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, 278246 + ... + 286245.

It is an arithmetic number, because the mean of its divisors is an integer number (115579737).

Almost surely, 2^2257964000 is an apocalyptic number.

2257964000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257964000 is an abundant number, since it is smaller than the sum of its proper divisors (3289863376).

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

2257964000 is an equidigital number, since it uses as much as digits as its factorization.

2257964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564516 (or 564498 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 2257964000 is about 47518.0386800634. The cubic root of 2257964000 is about 1311.9149198745.

The spelling of 2257964000 in words is "two billion, two hundred fifty-seven million, nine hundred sixty-four thousand".