2115258105024 has 168 divisors, whose sum is σ = 6274123596000. Its totient is φ = 680550334464.

The previous prime is 2115258105011. The next prime is 2115258105043. The reversal of 2115258105024 is 4205018525112.

2115258105024 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 2 + 581 + 0 + 50 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2115258105024.

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 23 ways as a sum of consecutive naturals, for example, 55588597 + ... + 55626635.

Almost surely, 2^{2115258105024} is an apocalyptic number.

2115258105024 is a gapful number since it is divisible by the number (24) 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 2115258105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137061798000).

2115258105024 is an abundant number, since it is smaller than the sum of its proper divisors (4158865490976).

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

2115258105024 is a wasteful number, since it uses less digits than its factorization.

2115258105024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41415 (or 41402 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 2115258105024 in words is "two trillion, one hundred fifteen billion, two hundred fifty-eight million, one hundred five thousand, twenty-four".