2112981575328 has 480 divisors, whose sum is σ = 7110233721360. Its totient is φ = 610753167360.

The previous prime is 2112981575293. The next prime is 2112981575363. The reversal of 2112981575328 is 8235751892112.

2112981575328 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 98 + 15 + 7 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2112981575293) and next prime (2112981575363).

It can be written as a sum of positive squares in 8 ways, for example, as 1682136368784 + 430845206544 = 1296972^2 + 656388^2 .

It is a super-2 number, since 2×2112981575328² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36126588 + ... + 36185028.

Almost surely, 2^{2112981575328} 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 2112981575328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555116860680).

2112981575328 is an abundant number, since it is smaller than the sum of its proper divisors (4997252146032).

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

2112981575328 is a wasteful number, since it uses less digits than its factorization.

2112981575328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58542 (or 58525 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 2112981575328 in words is "two trillion, one hundred twelve billion, nine hundred eighty-one million, five hundred seventy-five thousand, three hundred twenty-eight".