2120116320 has 216 divisors, whose sum is σ = 8416384704. Its totient is φ = 484581888.

The previous prime is 2120116277. The next prime is 2120116331. The reversal of 2120116320 is 236110212.

2120116320 is a `hidden beast` number, since 2 + 1 + 20 + 11 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120116293 and 2120116302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55537 + ... + 85583.

It is an arithmetic number, because the mean of its divisors is an integer number (38964744).

Almost surely, 2^2120116320 is an apocalyptic number.

2120116320 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 2120116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208192352).

2120116320 is an abundant number, since it is smaller than the sum of its proper divisors (6296268384).

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

2120116320 is a wasteful number, since it uses less digits than its factorization.

2120116320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30082 (or 30064 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2120116320 is about 46044.7208700411. The cubic root of 2120116320 is about 1284.6551523071.

Adding to 2120116320 its reverse (236110212), we get a palindrome (2356226532).

The spelling of 2120116320 in words is "two billion, one hundred twenty million, one hundred sixteen thousand, three hundred twenty".