2584638 has 48 divisors (see below), whose sum is σ = 6510816. Its totient is φ = 725760.

The previous prime is 2584619. The next prime is 2584661. The reversal of 2584638 is 8364852.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2⁵ + 5⁷ + 8³ + 4⁹ + 6⁸ + 3¹² + 8⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9058 + ... + 9338.

It is an arithmetic number, because the mean of its divisors is an integer number (135642).

2^2584638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2584638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255408).

2584638 is an abundant number, since it is smaller than the sum of its proper divisors (3926178).

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

2584638 is a wasteful number, since it uses less digits than its factorization.

2584638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 366 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2584638 is about 1607.6809384949. The cubic root of 2584638 is about 137.2355335266.

The spelling of 2584638 in words is "two million, five hundred eighty-four thousand, six hundred thirty-eight".