2504580 has 96 divisors (see below), whose sum is σ = 7996800. Its totient is φ = 584064.

The previous prime is 2504569. The next prime is 2504581. The reversal of 2504580 is 854052.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2504580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131811 + ... + 131829.

It is an arithmetic number, because the mean of its divisors is an integer number (83300).

2^2504580 is an apocalyptic number.

2504580 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 2504580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998400).

2504580 is an abundant number, since it is smaller than the sum of its proper divisors (5492220).

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

2504580 is a wasteful number, since it uses less digits than its factorization.

2504580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2504580 is about 1582.5864905275. The cubic root of 2504580 is about 135.8037104869.

The spelling of 2504580 in words is "two million, five hundred four thousand, five hundred eighty".