2257567620 has 96 divisors (see below), whose sum is σ = 7880979456. Its totient is φ = 469104000.

The previous prime is 2257567619. The next prime is 2257567643. The reversal of 2257567620 is 267657522.

It is a super-2 number, since 2×2257567620² = 10193223117744928800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 239706 + ... + 248945.

It is an arithmetic number, because the mean of its divisors is an integer number (82093536).

Almost surely, 2^2257567620 is an apocalyptic number.

2257567620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257567620 is an abundant number, since it is smaller than the sum of its proper divisors (5623411836).

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

2257567620 is a wasteful number, since it uses less digits than its factorization.

2257567620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488681 (or 488679 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 2257567620 is about 47513.8676598738. The cubic root of 2257567620 is about 1311.8381475746.

The spelling of 2257567620 in words is "two billion, two hundred fifty-seven million, five hundred sixty-seven thousand, six hundred twenty".