2585280 has 56 divisors (see below), whose sum is σ = 8211312. Its totient is φ = 689152.

The previous prime is 2585279. The next prime is 2585293. The reversal of 2585280 is 825852.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 387 + ... + 2306.

2^2585280 is an apocalyptic number.

2585280 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 2585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105656).

2585280 is an abundant number, since it is smaller than the sum of its proper divisors (5626032).

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

2585280 is a wasteful number, since it uses less digits than its factorization.

2585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 2585280 is about 1607.8805925814. The cubic root of 2585280 is about 137.2468952619.

The spelling of 2585280 in words is "two million, five hundred eighty-five thousand, two hundred eighty".