2162111328 has 144 divisors (see below), whose sum is σ = 6730725456. Its totient is φ = 654289920.

The previous prime is 2162111321. The next prime is 2162111363. The reversal of 2162111328 is 8231112612.

2162111328 is a `hidden beast` number, since 2 + 1 + 621 + 1 + 1 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162111321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223651 + ... + 233117.

It is an arithmetic number, because the mean of its divisors is an integer number (46741149).

Almost surely, 2^2162111328 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 2162111328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365362728).

2162111328 is an abundant number, since it is smaller than the sum of its proper divisors (4568614128).

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

2162111328 is a wasteful number, since it uses less digits than its factorization.

2162111328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9557 (or 9546 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2162111328 is about 46498.5088793178. The cubic root of 2162111328 is about 1293.0818544836.

The spelling of 2162111328 in words is "two billion, one hundred sixty-two million, one hundred eleven thousand, three hundred twenty-eight".