2560390560 has 720 divisors, whose sum is σ = 11249352576. Its totient is φ = 536979456.

The previous prime is 2560390559. The next prime is 2560390561. The reversal of 2560390560 is 650930652.

2560390560 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 3 + 90 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2560390559) and next prime (2560390561).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2560390560² = 13111199639474227200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2560390561) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15331597 + ... + 15331763.

Almost surely, 2^2560390560 is an apocalyptic number.

2560390560 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 2560390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624676288).

2560390560 is an abundant number, since it is smaller than the sum of its proper divisors (8688962016).

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

2560390560 is a wasteful number, since it uses less digits than its factorization.

2560390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2560390560 is about 50600.3019753835. The cubic root of 2560390560 is about 1368.0503213253.

The spelling of 2560390560 in words is "two billion, five hundred sixty million, three hundred ninety thousand, five hundred sixty".