2638200956160 has 648 divisors, whose sum is σ = 10701901992096. Its totient is φ = 547712040960.

The previous prime is 2638200956089. The next prime is 2638200956179. The reversal of 2638200956160 is 616590028362.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2336758476 + ... + 2336759604.

It is an arithmetic number, because the mean of its divisors is an integer number (16515280852).

Almost surely, 2^{2638200956160} is an apocalyptic number.

2638200956160 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 2638200956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350950996048).

2638200956160 is an abundant number, since it is smaller than the sum of its proper divisors (8063701035936).

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

2638200956160 is an equidigital number, since it uses as much as digits as its factorization.

2638200956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 2638200956160 in words is "two trillion, six hundred thirty-eight billion, two hundred million, nine hundred fifty-six thousand, one hundred sixty".