2116429753920 has 672 divisors, whose sum is σ = 7336484305920. Its totient is φ = 515457146880.

The previous prime is 2116429753913. The next prime is 2116429753927. The reversal of 2116429753920 is 293579246112.

It is an interprime number because it is at equal distance from previous prime (2116429753913) and next prime (2116429753927).

It is not an unprimeable number, because it can be changed into a prime (2116429753927) 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, 3271143037 + ... + 3271143683.

It is an arithmetic number, because the mean of its divisors is an integer number (10917387360).

Almost surely, 2^{2116429753920} is an apocalyptic number.

2116429753920 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 2116429753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668242152960).

2116429753920 is an abundant number, since it is smaller than the sum of its proper divisors (5220054552000).

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

2116429753920 is a wasteful number, since it uses less digits than its factorization.

2116429753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 2116429753920 in words is "two trillion, one hundred sixteen billion, four hundred twenty-nine million, seven hundred fifty-three thousand, nine hundred twenty".