2115813934080 has 1760 divisors, whose sum is σ = 9621510497280. Its totient is φ = 431813099520.

The previous prime is 2115813934079. The next prime is 2115813934123. The reversal of 2115813934080 is 804393185112.

2115813934080 is a `hidden beast` number, since 2 + 1 + 1 + 581 + 39 + 34 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1884072399 + ... + 1884073521.

It is an arithmetic number, because the mean of its divisors is an integer number (5466767328).

Almost surely, 2^{2115813934080} is an apocalyptic number.

2115813934080 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 2115813934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810755248640).

2115813934080 is an abundant number, since it is smaller than the sum of its proper divisors (7505696563200).

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

2115813934080 is a wasteful number, since it uses less digits than its factorization.

2115813934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2115813934080 in words is "two trillion, one hundred fifteen billion, eight hundred thirteen million, nine hundred thirty-four thousand, eighty".