2638183347072 has 512 divisors, whose sum is σ = 9787096166400. Its totient is φ = 680976875520.

The previous prime is 2638183347049. The next prime is 2638183347097. The reversal of 2638183347072 is 2707433818362.

2638183347072 is a `hidden beast` number, since 2 + 63 + 8 + 18 + 33 + 470 + 72 = 666.

It is a super-2 number, since 2×2638183347072² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14692072 + ... + 14870552.

It is an arithmetic number, because the mean of its divisors is an integer number (19115422200).

Almost surely, 2^{2638183347072} 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 2638183347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893548083200).

2638183347072 is an abundant number, since it is smaller than the sum of its proper divisors (7148912819328).

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

2638183347072 is a wasteful number, since it uses less digits than its factorization.

2638183347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178571 (or 178553 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2638183347072 in words is "two trillion, six hundred thirty-eight billion, one hundred eighty-three million, three hundred forty-seven thousand, seventy-two".