2132881768864 has 192 divisors, whose sum is σ = 5263304417280. Its totient is φ = 826548664320.

The previous prime is 2132881768777. The next prime is 2132881768889. The reversal of 2132881768864 is 4688671882312.

It is a junction number, because it is equal to n+sod(n) for n = 2132881768796 and 2132881768805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895039417 + ... + 895041799.

It is an arithmetic number, because the mean of its divisors is an integer number (27413043840).

Almost surely, 2^{2132881768864} 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 2132881768864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631652208640).

2132881768864 is an abundant number, since it is smaller than the sum of its proper divisors (3130422648416).

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

2132881768864 is a wasteful number, since it uses less digits than its factorization.

2132881768864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4195 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 64.

The spelling of 2132881768864 in words is "two trillion, one hundred thirty-two billion, eight hundred eighty-one million, seven hundred sixty-eight thousand, eight hundred sixty-four".