2560470584 has 64 divisors (see below), whose sum is σ = 5758871040. Its totient is φ = 1043475840.

The previous prime is 2560470557. The next prime is 2560470599. The reversal of 2560470584 is 4850740652.

2560470584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2560470584² = 13112019223058602112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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, 217079 + ... + 228569.

It is an arithmetic number, because the mean of its divisors is an integer number (89982360).

Almost surely, 2^2560470584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560470584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879435520).

2560470584 is an abundant number, since it is smaller than the sum of its proper divisors (3198400456).

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

2560470584 is a wasteful number, since it uses less digits than its factorization.

2560470584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11700 (or 11696 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The square root of 2560470584 is about 50601.0927154740. The cubic root of 2560470584 is about 1368.0645738017.

The spelling of 2560470584 in words is "two billion, five hundred sixty million, four hundred seventy thousand, five hundred eighty-four".