2583680 has 64 divisors (see below), whose sum is σ = 6756480. Its totient is φ = 936960.

The previous prime is 2583671. The next prime is 2583703. The reversal of 2583680 is 863852.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 6857 + ... + 7223.

It is an arithmetic number, because the mean of its divisors is an integer number (105570).

2^2583680 is an apocalyptic number.

2583680 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 2583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378240).

2583680 is an abundant number, since it is smaller than the sum of its proper divisors (4172800).

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

2583680 is a wasteful number, since it uses less digits than its factorization.

2583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 2583680 is about 1607.3829661907. The cubic root of 2583680 is about 137.2185759116.

The spelling of 2583680 in words is "two million, five hundred eighty-three thousand, six hundred eighty".