2638116864 has 384 divisors, whose sum is σ = 8596224000. Its totient is φ = 806215680.

The previous prime is 2638116853. The next prime is 2638116917. The reversal of 2638116864 is 4686118362.

2638116864 is a `hidden beast` number, since 2 + 638 + 1 + 1 + 6 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85100529 + ... + 85100559.

It is an arithmetic number, because the mean of its divisors is an integer number (22386000).

Almost surely, 2^2638116864 is an apocalyptic number.

2638116864 is a gapful number since it is divisible by the number (24) 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 2638116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298112000).

2638116864 is an abundant number, since it is smaller than the sum of its proper divisors (5958107136).

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

2638116864 is an frugal number, since it uses more digits than its factorization.

2638116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 55 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2638116864 is about 51362.6018032576. The cubic root of 2638116864 is about 1381.7559499884.

The spelling of 2638116864 in words is "two billion, six hundred thirty-eight million, one hundred sixteen thousand, eight hundred sixty-four".