2508802560 has 480 divisors, whose sum is σ = 9996592320. Its totient is φ = 575078400.

The previous prime is 2508802553. The next prime is 2508802633. The reversal of 2508802560 is 652088052.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4815100 + ... + 4815620.

It is an arithmetic number, because the mean of its divisors is an integer number (20826234).

Almost surely, 2^2508802560 is an apocalyptic number.

2508802560 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 2508802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998296160).

2508802560 is an abundant number, since it is smaller than the sum of its proper divisors (7487789760).

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

2508802560 is a wasteful number, since it uses less digits than its factorization.

2508802560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2508802560 is about 50087.9482510514. The cubic root of 2508802560 is about 1358.7998639700.

The spelling of 2508802560 in words is "two billion, five hundred eight million, eight hundred two thousand, five hundred sixty".