2568960 has 108 divisors (see below), whose sum is σ = 8928192. Its totient is φ = 681984.

The previous prime is 2568953. The next prime is 2568983. The reversal of 2568960 is 698652.

2568960 is a `hidden beast` number, since 2 + 568 + 96 + 0 = 666.

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 11 ways as a sum of consecutive naturals, for example, 11409 + ... + 11631.

2^2568960 is an apocalyptic number.

2568960 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 2568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464096).

2568960 is an abundant number, since it is smaller than the sum of its proper divisors (6359232).

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

2568960 is a wasteful number, since it uses less digits than its factorization.

2568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2568960 is about 1602.7975542781. The cubic root of 2568960 is about 136.9574876530.

It can be divided in two parts, 256 and 8960, that added together give a square (9216 = 96²).

The spelling of 2568960 in words is "two million, five hundred sixty-eight thousand, nine hundred sixty".