2164232016 has 120 divisors (see below), whose sum is σ = 6278804480. Its totient is φ = 695174400.

The previous prime is 2164231967. The next prime is 2164232093. The reversal of 2164232016 is 6102324612.

2164232016 is a `hidden beast` number, since 2 + 1 + 642 + 3 + 2 + 0 + 16 = 666.

2164232016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1208850 + ... + 1210638.

Almost surely, 2^2164232016 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 2164232016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139402240).

2164232016 is an abundant number, since it is smaller than the sum of its proper divisors (4114572464).

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

2164232016 is a wasteful number, since it uses less digits than its factorization.

2164232016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2164232016 is about 46521.3071183517. The cubic root of 2164232016 is about 1293.5044856809.

Adding to 2164232016 its reverse (6102324612), we get a palindrome (8266556628).

The spelling of 2164232016 in words is "two billion, one hundred sixty-four million, two hundred thirty-two thousand, sixteen".