2570641920 has 1200 divisors, whose sum is σ = 12192130368. Its totient is φ = 510935040.

The previous prime is 2570641891. The next prime is 2570641949. The reversal of 2570641920 is 291460752.

2570641920 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 641 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2570641891) and next prime (2570641949).

It is a super-2 number, since 2×2570641920² = 13216399761722572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 111767029 + ... + 111767051.

Almost surely, 2^2570641920 is an apocalyptic number.

2570641920 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 2570641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096065184).

2570641920 is an abundant number, since it is smaller than the sum of its proper divisors (9621488448).

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

2570641920 is a wasteful number, since it uses less digits than its factorization.

2570641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2570641920 is about 50701.4982027159. The cubic root of 2570641920 is about 1369.8737021050.

The spelling of 2570641920 in words is "two billion, five hundred seventy million, six hundred forty-one thousand, nine hundred twenty".