2582632 has 32 divisors (see below), whose sum is σ = 5493600. Its totient is φ = 1128384.

The previous prime is 2582627. The next prime is 2582663. The reversal of 2582632 is 2362852.

It is a self number, because there is not a number n which added to its sum of digits gives 2582632.

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, 1323 + ... + 2629.

It is an arithmetic number, because the mean of its divisors is an integer number (171675).

2^2582632 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 2582632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746800).

2582632 is an abundant number, since it is smaller than the sum of its proper divisors (2910968).

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

2582632 is a wasteful number, since it uses less digits than its factorization.

2582632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1341 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 2582632 is about 1607.0569373859. The cubic root of 2582632 is about 137.2000203997.

The spelling of 2582632 in words is "two million, five hundred eighty-two thousand, six hundred thirty-two".