2123272116 has 180 divisors, whose sum is σ = 6797683200. Its totient is φ = 574638624.

The previous prime is 2123272051. The next prime is 2123272187. The reversal of 2123272116 is 6112723212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2123272116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 298125 + ... + 305163.

Almost surely, 2^2123272116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123272116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398841600).

2123272116 is an abundant number, since it is smaller than the sum of its proper divisors (4674411084).

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

2123272116 is a wasteful number, since it uses less digits than its factorization.

2123272116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7070 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2123272116 is about 46078.9769417681. The cubic root of 2123272116 is about 1285.2922399515.

Adding to 2123272116 its reverse (6112723212), we get a palindrome (8235995328).

The spelling of 2123272116 in words is "two billion, one hundred twenty-three million, two hundred seventy-two thousand, one hundred sixteen".