2585680 has 20 divisors (see below), whose sum is σ = 6011892. Its totient is φ = 1034240.

The previous prime is 2585659. The next prime is 2585707. The reversal of 2585680 is 865852.

It can be written as a sum of positive squares in 2 ways, for example, as 937024 + 1648656 = 968^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16081 + ... + 16240.

2^2585680 is an apocalyptic number.

2585680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585680 is an abundant number, since it is smaller than the sum of its proper divisors (3426212).

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

2585680 is a wasteful number, since it uses less digits than its factorization.

2585680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32334 (or 32328 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 2585680 is about 1608.0049751167. The cubic root of 2585680 is about 137.2539732737.

The spelling of 2585680 in words is "two million, five hundred eighty-five thousand, six hundred eighty".