2638872 has 64 divisors (see below), whose sum is σ = 7728000. Its totient is φ = 832032.

The previous prime is 2638849. The next prime is 2638873. The reversal of 2638872 is 2788362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638873) 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, 3783 + ... + 4425.

It is an arithmetic number, because the mean of its divisors is an integer number (120750).

2^2638872 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 2638872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864000).

2638872 is an abundant number, since it is smaller than the sum of its proper divisors (5089128).

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

2638872 is a wasteful number, since it uses less digits than its factorization.

2638872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2638872 is about 1624.4605258362. The cubic root of 2638872 is about 138.1887775602.

The spelling of 2638872 in words is "two million, six hundred thirty-eight thousand, eight hundred seventy-two".