2575656960 has 96 divisors (see below), whose sum is σ = 8240188320. Its totient is φ = 686833664.

The previous prime is 2575656943. The next prime is 2575656973. The reversal of 2575656960 is 696565752.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11202 + ... + 72641.

It is an arithmetic number, because the mean of its divisors is an integer number (85835295).

Almost surely, 2^2575656960 is an apocalyptic number.

2575656960 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 2575656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120094160).

2575656960 is an abundant number, since it is smaller than the sum of its proper divisors (5664531360).

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

2575656960 is an equidigital number, since it uses as much as digits as its factorization.

2575656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83873 (or 83853 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The square root of 2575656960 is about 50750.9306318613. The cubic root of 2575656960 is about 1370.7639478025.

The spelling of 2575656960 in words is "two billion, five hundred seventy-five million, six hundred fifty-six thousand, nine hundred sixty".