2631720960 has 504 divisors, whose sum is σ = 10197434520. Its totient is φ = 627179520.

The previous prime is 2631720953. The next prime is 2631721033. The reversal of 2631720960 is 690271362.

It is a super-2 number, since 2×2631720960² = 13851910422606643200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44605411 + ... + 44605469.

It is an arithmetic number, because the mean of its divisors is an integer number (20233005).

Almost surely, 2^2631720960 is an apocalyptic number.

2631720960 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 2631720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098717260).

2631720960 is an abundant number, since it is smaller than the sum of its proper divisors (7565713560).

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

2631720960 is a wasteful number, since it uses less digits than its factorization.

2631720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2631720960 is about 51300.3017534985. The cubic root of 2631720960 is about 1380.6383939816.

The spelling of 2631720960 in words is "two billion, six hundred thirty-one million, seven hundred twenty thousand, nine hundred sixty".