2115388501668 has 336 divisors, whose sum is σ = 6452341701120. Its totient is φ = 601113477888.

The previous prime is 2115388501663. The next prime is 2115388501669. The reversal of 2115388501668 is 8661058835112.

2115388501668 is a `hidden beast` number, since 2 + 1 + 1 + 53 + 88 + 501 + 6 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2115388501663) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25242805 + ... + 25326467.

It is an arithmetic number, because the mean of its divisors is an integer number (19203397920).

Almost surely, 2^{2115388501668} 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 2115388501668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226170850560).

2115388501668 is an abundant number, since it is smaller than the sum of its proper divisors (4336953199452).

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

2115388501668 is a wasteful number, since it uses less digits than its factorization.

2115388501668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83750 (or 83733 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 2115388501668 in words is "two trillion, one hundred fifteen billion, three hundred eighty-eight million, five hundred one thousand, six hundred sixty-eight".