2257816920 has 128 divisors (see below), whose sum is σ = 7279372800. Its totient is φ = 558176256.

The previous prime is 2257816909. The next prime is 2257816931. The reversal of 2257816920 is 296187522.

It is an interprime number because it is at equal distance from previous prime (2257816909) and next prime (2257816931).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128421 + ... + 144939.

It is an arithmetic number, because the mean of its divisors is an integer number (56870100).

Almost surely, 2^2257816920 is an apocalyptic number.

2257816920 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 2257816920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639686400).

2257816920 is an abundant number, since it is smaller than the sum of its proper divisors (5021555880).

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

2257816920 is a wasteful number, since it uses less digits than its factorization.

2257816920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16617 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2257816920 is about 47516.4910320617. The cubic root of 2257816920 is about 1311.8864339411.

The spelling of 2257816920 in words is "two billion, two hundred fifty-seven million, eight hundred sixteen thousand, nine hundred twenty".