2638592 has 36 divisors (see below), whose sum is σ = 5751816. Its totient is φ = 1198080.

The previous prime is 2638589. The next prime is 2638607. The reversal of 2638592 is 2958362.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2348 + ... + 3284.

2^2638592 is an apocalyptic number.

2638592 is a gapful number since it is divisible by the number (22) 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 2638592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875908).

2638592 is an abundant number, since it is smaller than the sum of its proper divisors (3113224).

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

2638592 is an equidigital number, since it uses as much as digits as its factorization.

2638592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 950 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 2638592 is about 1624.3743410926. The cubic root of 2638592 is about 138.1838898372.

The spelling of 2638592 in words is "two million, six hundred thirty-eight thousand, five hundred ninety-two".