2111323968 has 294 divisors, whose sum is σ = 6881416514. Its totient is φ = 638627328.

The previous prime is 2111323961. The next prime is 2111323999. The reversal of 2111323968 is 8693231112.

It can be written as a sum of positive squares in only one way, i.e., 1461685824 + 649638144 = 38232^2 + 25488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111323961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 35785123 + ... + 35785181.

Almost surely, 2^2111323968 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 2111323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440708257).

2111323968 is an abundant number, since it is smaller than the sum of its proper divisors (4770092546).

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

2111323968 is an frugal number, since it uses more digits than its factorization.

2111323968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 77 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2111323968 is about 45949.1454545131. The cubic root of 2111323968 is about 1282.8768237123.

The spelling of 2111323968 in words is "two billion, one hundred eleven million, three hundred twenty-three thousand, nine hundred sixty-eight".