2115661142034 has 192 divisors, whose sum is σ = 5293582295040. Its totient is φ = 604806048000.

The previous prime is 2115661141981. The next prime is 2115661142039. The reversal of 2115661142034 is 4302411665112.

2115661142034 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 6 + 611 + 4 + 2 + 0 + 34 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2115661142034.

It is not an unprimeable number, because it can be changed into a prime (2115661142039) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38758749 + ... + 38813295.

It is an arithmetic number, because the mean of its divisors is an integer number (27570741120).

Almost surely, 2^{2115661142034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115661142034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646791147520).

2115661142034 is an abundant number, since it is smaller than the sum of its proper divisors (3177921153006).

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

2115661142034 is a wasteful number, since it uses less digits than its factorization.

2115661142034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54757 (or 54754 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2115661142034 in words is "two trillion, one hundred fifteen billion, six hundred sixty-one million, one hundred forty-two thousand, thirty-four".