2638160 has 60 divisors (see below), whose sum is σ = 7145748. Its totient is φ = 903168.

The previous prime is 2638087. The next prime is 2638177. The reversal of 2638160 is 618362.

It can be written as a sum of positive squares in 2 ways, for example, as 906304 + 1731856 = 952^2 + 1316^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3584 + ... + 4256.

2^2638160 is an apocalyptic number.

2638160 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 2638160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572874).

2638160 is an abundant number, since it is smaller than the sum of its proper divisors (4507588).

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

2638160 is a wasteful number, since it uses less digits than its factorization.

2638160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2638160 is about 1624.2413613746. The cubic root of 2638160 is about 138.1763481004.

The spelling of 2638160 in words is "two million, six hundred thirty-eight thousand, one hundred sixty".