2639377684008 has 576 divisors, whose sum is σ = 8302397875200. Its totient is φ = 754488483840.

The previous prime is 2639377683989. The next prime is 2639377684043. The reversal of 2639377684008 is 8004867739362.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9739400913 + ... + 9739401183.

It is an arithmetic number, because the mean of its divisors is an integer number (14413885200).

Almost surely, 2^{2639377684008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2639377684008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151198937600).

2639377684008 is an abundant number, since it is smaller than the sum of its proper divisors (5663020191192).

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

2639377684008 is a wasteful number, since it uses less digits than its factorization.

2639377684008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 2639377684008 in words is "two trillion, six hundred thirty-nine billion, three hundred seventy-seven million, six hundred eighty-four thousand, eight".