2117961036576 has 1728 divisors, whose sum is σ = 8690387771520. Its totient is φ = 480650526720.

The previous prime is 2117961036551. The next prime is 2117961036601. The reversal of 2117961036576 is 6756301697112.

2117961036576 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 9 + 61 + 0 + 3 + 6 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (2117961036551) and next prime (2117961036601).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2657416210 + ... + 2657417006.

It is an arithmetic number, because the mean of its divisors is an integer number (5029159590).

Almost surely, 2^{2117961036576} 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 2117961036576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345193885760).

2117961036576 is an abundant number, since it is smaller than the sum of its proper divisors (6572426734944).

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

2117961036576 is a wasteful number, since it uses less digits than its factorization.

2117961036576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 2117961036576 in words is "two trillion, one hundred seventeen billion, nine hundred sixty-one million, thirty-six thousand, five hundred seventy-six".