2257152768 has 216 divisors, whose sum is σ = 7064431920. Its totient is φ = 688988160.

The previous prime is 2257152743. The next prime is 2257152797. The reversal of 2257152768 is 8672517522.

2257152768 is a `hidden beast` number, since 2 + 2 + 571 + 5 + 2 + 76 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 5361198 + ... + 5361618.

Almost surely, 2^2257152768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532215960).

2257152768 is an abundant number, since it is smaller than the sum of its proper divisors (4807279152).

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

2257152768 is a wasteful number, since it uses less digits than its factorization.

2257152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 618 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 2257152768 is about 47509.5018706785. The cubic root of 2257152768 is about 1311.7577879266.

The spelling of 2257152768 in words is "two billion, two hundred fifty-seven million, one hundred fifty-two thousand, seven hundred sixty-eight".