2560808717184 has 128 divisors (see below), whose sum is σ = 6854693882400. Its totient is φ = 847014232064.

The previous prime is 2560808717149. The next prime is 2560808717213. The reversal of 2560808717184 is 4817178080652.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143558314 + ... + 143576150.

Almost surely, 2^{2560808717184} is an apocalyptic number.

2560808717184 is a gapful number since it is divisible by the number (24) 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 2560808717184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427346941200).

2560808717184 is an abundant number, since it is smaller than the sum of its proper divisors (4293885165216).

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

2560808717184 is a wasteful number, since it uses less digits than its factorization.

2560808717184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20720 (or 20708 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 57.

The spelling of 2560808717184 in words is "two trillion, five hundred sixty billion, eight hundred eight million, seven hundred seventeen thousand, one hundred eighty-four".