2585960 has 32 divisors (see below), whose sum is σ = 6267240. Its totient is φ = 954624.

The previous prime is 2585953. The next prime is 2585963. The reversal of 2585960 is 695852.

It can be written as a sum of positive squares in 4 ways, for example, as 1800964 + 784996 = 1342^2 + 886^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2585960.

It is not an unprimeable number, because it can be changed into a prime (2585963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1967 + ... + 3006.

2^2585960 is an apocalyptic number.

2585960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585960 is an abundant number, since it is smaller than the sum of its proper divisors (3681280).

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

2585960 is a wasteful number, since it uses less digits than its factorization.

2585960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 2585960 is about 1608.0920371670. The cubic root of 2585960 is about 137.2589274476.

The spelling of 2585960 in words is "two million, five hundred eighty-five thousand, nine hundred sixty".