2116234120 has 256 divisors, whose sum is σ = 6771340800. Its totient is φ = 572866560.

The previous prime is 2116234093. The next prime is 2116234199. The reversal of 2116234120 is 214326112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2116234091 and 2116234100.

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, 679126 + ... + 682234.

It is an arithmetic number, because the mean of its divisors is an integer number (26450550).

Almost surely, 2^2116234120 is an apocalyptic number.

2116234120 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 2116234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385670400).

2116234120 is an abundant number, since it is smaller than the sum of its proper divisors (4655106680).

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

2116234120 is a wasteful number, since it uses less digits than its factorization.

2116234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2116234120 is about 46002.5447122222. The cubic root of 2116234120 is about 1283.8705514177.

The spelling of 2116234120 in words is "two billion, one hundred sixteen million, two hundred thirty-four thousand, one hundred twenty".