2116865381280 has 384 divisors, whose sum is σ = 7278980889600. Its totient is φ = 513982070784.

The previous prime is 2116865381269. The next prime is 2116865381299. The reversal of 2116865381280 is 821835686112.

It is a super-2 number, since 2×2116865381280² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 994299256 + ... + 994301384.

It is an arithmetic number, because the mean of its divisors is an integer number (18955679400).

Almost surely, 2^{2116865381280} is an apocalyptic number.

2116865381280 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 2116865381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639490444800).

2116865381280 is an abundant number, since it is smaller than the sum of its proper divisors (5162115508320).

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

2116865381280 is a wasteful number, since it uses less digits than its factorization.

2116865381280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 2116865381280 in words is "two trillion, one hundred sixteen billion, eight hundred sixty-five million, three hundred eighty-one thousand, two hundred eighty".