2560381920 has 96 divisors (see below), whose sum is σ = 8961351840. Its totient is φ = 682767360.

The previous prime is 2560381913. The next prime is 2560381927. The reversal of 2560381920 is 291830652.

2560381920 is a `hidden beast` number, since 2 + 560 + 3 + 8 + 1 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2560381913) and next prime (2560381927).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560381927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292021 + ... + 300660.

It is an arithmetic number, because the mean of its divisors is an integer number (93347415).

Almost surely, 2^2560381920 is an apocalyptic number.

2560381920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560381920 is an abundant number, since it is smaller than the sum of its proper divisors (6400969920).

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

2560381920 is a wasteful number, since it uses less digits than its factorization.

2560381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592705 (or 592691 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2560381920 is about 50600.2166003269. The cubic root of 2560381920 is about 1368.0487825017.

The spelling of 2560381920 in words is "two billion, five hundred sixty million, three hundred eighty-one thousand, nine hundred twenty".