2638412320 has 48 divisors (see below), whose sum is σ = 6385295448. Its totient is φ = 1029621760.

The previous prime is 2638412297. The next prime is 2638412347. The reversal of 2638412320 is 232148362.

It can be written as a sum of positive squares in 4 ways, for example, as 1094551056 + 1543861264 = 33084^2 + 39292^2 .

It is a super-2 number, since 2×2638412320² = 13922439140655564800, which contains 22 as substring.

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, 194539 + ... + 207658.

Almost surely, 2^2638412320 is an apocalyptic number.

2638412320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638412320 is an abundant number, since it is smaller than the sum of its proper divisors (3746883128).

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

2638412320 is a wasteful number, since it uses less digits than its factorization.

2638412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402253 (or 402245 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2638412320 is about 51365.4779010183. The cubic root of 2638412320 is about 1381.8075313332.

The spelling of 2638412320 in words is "two billion, six hundred thirty-eight million, four hundred twelve thousand, three hundred twenty".