2638113760 has 96 divisors (see below), whose sum is σ = 6585183360. Its totient is φ = 997097472.

The previous prime is 2638113757. The next prime is 2638113781. The reversal of 2638113760 is 673118362.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212032 + ... + 224128.

It is an arithmetic number, because the mean of its divisors is an integer number (68595660).

Almost surely, 2^2638113760 is an apocalyptic number.

2638113760 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 2638113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292591680).

2638113760 is an abundant number, since it is smaller than the sum of its proper divisors (3947069600).

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

2638113760 is a wasteful number, since it uses less digits than its factorization.

2638113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12188 (or 12180 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 2638113760 is about 51362.5715867109. The cubic root of 2638113760 is about 1381.7554080650.

The spelling of 2638113760 in words is "two billion, six hundred thirty-eight million, one hundred thirteen thousand, seven hundred sixty".