2638013040 has 120 divisors (see below), whose sum is σ = 9540847680. Its totient is φ = 649354752.

The previous prime is 2638013017. The next prime is 2638013051. The reversal of 2638013040 is 403108362.

It is a happy number.

2638013040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2638013040² = 13918225598420083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2638012995 and 2638013013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131560 + ... + 150279.

It is an arithmetic number, because the mean of its divisors is an integer number (79507064).

Almost surely, 2^2638013040 is an apocalyptic number.

2638013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638013040 is an abundant number, since it is smaller than the sum of its proper divisors (6902834640).

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

2638013040 is a wasteful number, since it uses less digits than its factorization.

2638013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281871 (or 281862 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2638013040 is about 51361.5910968498. The cubic root of 2638013040 is about 1381.7378232565.

The spelling of 2638013040 in words is "two billion, six hundred thirty-eight million, thirteen thousand, forty".