2631872 has 56 divisors (see below), whose sum is σ = 5760720. Its totient is φ = 1187840.

The previous prime is 2631851. The next prime is 2631887. The reversal of 2631872 is 2781362.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 44579 + ... + 44637.

It is an arithmetic number, because the mean of its divisors is an integer number (102870).

2^2631872 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 2631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880360).

2631872 is an abundant number, since it is smaller than the sum of its proper divisors (3128848).

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

2631872 is a wasteful number, since it uses less digits than its factorization.

2631872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 2631872 is about 1622.3045336804. The cubic root of 2631872 is about 138.0664806057.

The spelling of 2631872 in words is "two million, six hundred thirty-one thousand, eight hundred seventy-two".