2120234116 has 243 divisors, whose sum is σ = 5370327333. Its totient is φ = 729368640.

The previous prime is 2120234113. The next prime is 2120234159. The reversal of 2120234116 is 6114320212.

The square root of 2120234116 is 46046.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 313644100 + 1806590016 = 17710^2 + 42504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2120234113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 92184081 + ... + 92184103.

Almost surely, 2^2120234116 is an apocalyptic number.

2120234116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2120234116 is the 46046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120234116

2120234116 is an abundant number, since it is smaller than the sum of its proper divisors (3250093217).

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

2120234116 is a wasteful number, since it uses less digits than its factorization.

2120234116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 56 counting only the distinct ones).

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

The cubic root of 2120234116 is about 1284.6789441519.

Multiplying 2120234116 by its product of nonzero digits (576), we get a square (1221254850816 = 1105104²).

Adding to 2120234116 its reverse (6114320212), we get a palindrome (8234554328).

The spelling of 2120234116 in words is "two billion, one hundred twenty million, two hundred thirty-four thousand, one hundred sixteen".