2502584 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 975744.

The previous prime is 2502583. The next prime is 2502593. The reversal of 2502584 is 4852052.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37319 + ... + 37385.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

2^2502584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2502584 is an abundant number, since it is smaller than the sum of its proper divisors (3372616).

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

2502584 is a wasteful number, since it uses less digits than its factorization.

2502584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 2502584 is about 1581.9557515936. The cubic root of 2502584 is about 135.7676250960.

The spelling of 2502584 in words is "two million, five hundred two thousand, five hundred eighty-four".