2638796009808 has 480 divisors, whose sum is σ = 8559484157952. Its totient is φ = 696681216000.

The previous prime is 2638796009807. The next prime is 2638796009819. The reversal of 2638796009808 is 8089006978362.

2638796009808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638796009807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228441633 + ... + 228453183.

Almost surely, 2^{2638796009808} is an apocalyptic number.

2638796009808 is a gapful number since it is divisible by the number (28) 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 2638796009808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279742078976).

2638796009808 is an abundant number, since it is smaller than the sum of its proper divisors (5920688148144).

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

2638796009808 is a wasteful number, since it uses less digits than its factorization.

2638796009808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 2638796009808 in words is "two trillion, six hundred thirty-eight billion, seven hundred ninety-six million, nine thousand, eight hundred eight".