2138924236800 has 720 divisors, whose sum is σ = 7660843862112. Its totient is φ = 523449139200.

The previous prime is 2138924236769. The next prime is 2138924236819. The reversal of 2138924236800 is 86324298312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2138924236800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4105420540 + ... + 4105421060.

Almost surely, 2^{2138924236800} is an apocalyptic number.

2138924236800 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 2138924236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830421931056).

2138924236800 is an abundant number, since it is smaller than the sum of its proper divisors (5521919625312).

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

2138924236800 is a wasteful number, since it uses less digits than its factorization.

2138924236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 2138924236800 in words is "two trillion, one hundred thirty-eight billion, nine hundred twenty-four million, two hundred thirty-six thousand, eight hundred".