2585760 has 48 divisors (see below), whose sum is σ = 8146656. Its totient is φ = 689408.

The previous prime is 2585743. The next prime is 2585777. The reversal of 2585760 is 675852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2585743) and next prime (2585777).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 2214 + ... + 3173.

It is an arithmetic number, because the mean of its divisors is an integer number (169722).

2^2585760 is an apocalyptic number.

2585760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585760 is an abundant number, since it is smaller than the sum of its proper divisors (5560896).

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

2585760 is a wasteful number, since it uses less digits than its factorization.

2585760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 2585760 is about 1608.0298504692. The cubic root of 2585760 is about 137.2553887885.

The spelling of 2585760 in words is "two million, five hundred eighty-five thousand, seven hundred sixty".