2585880 has 96 divisors (see below), whose sum is σ = 9182160. Its totient is φ = 625920.

The previous prime is 2585839. The next prime is 2585899. The reversal of 2585880 is 885852.

2585880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3634 + ... + 4286.

2^2585880 is an apocalyptic number.

2585880 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 2585880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591080).

2585880 is an abundant number, since it is smaller than the sum of its proper divisors (6596280).

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

2585880 is a wasteful number, since it uses less digits than its factorization.

2585880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 2585880 is about 1608.0671627765. The cubic root of 2585880 is about 137.2575120059.

It can be divided in two parts, 25 and 85880, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 2585880 in words is "two million, five hundred eighty-five thousand, eight hundred eighty".