2112515365056 has 224 divisors, whose sum is σ = 5707194974208. Its totient is φ = 689480709120.

The previous prime is 2112515365043. The next prime is 2112515365063. The reversal of 2112515365056 is 6505635152112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2112515364999 and 2112515365017.

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 31 ways as a sum of consecutive naturals, for example, 2392429191 + ... + 2392430073.

It is an arithmetic number, because the mean of its divisors is an integer number (25478548992).

Almost surely, 2^{2112515365056} 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 2112515365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853597487104).

2112515365056 is an abundant number, since it is smaller than the sum of its proper divisors (3594679609152).

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

2112515365056 is a wasteful number, since it uses less digits than its factorization.

2112515365056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 2112515365056 in words is "two trillion, one hundred twelve billion, five hundred fifteen million, three hundred sixty-five thousand, fifty-six".