2257460920 has 256 divisors, whose sum is σ = 6386688000. Its totient is φ = 706406400.

The previous prime is 2257460903. The next prime is 2257460939. The reversal of 2257460920 is 290647522.

It is a happy number.

It is a super-2 number, since 2×2257460920² = 10192259610654492800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2257460920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5142061 + ... + 5142499.

It is an arithmetic number, because the mean of its divisors is an integer number (24948000).

Almost surely, 2^2257460920 is an apocalyptic number.

2257460920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257460920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344000).

2257460920 is an abundant number, since it is smaller than the sum of its proper divisors (4129227080).

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

2257460920 is a wasteful number, since it uses less digits than its factorization.

2257460920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2257460920 is about 47512.7448165227. The cubic root of 2257460920 is about 1311.8174800009.

The spelling of 2257460920 in words is "two billion, two hundred fifty-seven million, four hundred sixty thousand, nine hundred twenty".