2638245802920 has 768 divisors, whose sum is σ = 10254930739200. Its totient is φ = 537637201920.

The previous prime is 2638245802909. The next prime is 2638245802937. The reversal of 2638245802920 is 292085428362.

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 191 ways as a sum of consecutive naturals, for example, 1988127297 + ... + 1988128623.

It is an arithmetic number, because the mean of its divisors is an integer number (13352774400).

Almost surely, 2^{2638245802920} is an apocalyptic number.

2638245802920 is a gapful number since it is divisible by the number (20) 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 2638245802920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127465369600).

2638245802920 is an abundant number, since it is smaller than the sum of its proper divisors (7616684936280).

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

2638245802920 is a wasteful number, since it uses less digits than its factorization.

2638245802920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 2638245802920 in words is "two trillion, six hundred thirty-eight billion, two hundred forty-five million, eight hundred two thousand, nine hundred twenty".