2164432320 has 224 divisors, whose sum is σ = 7751673600. Its totient is φ = 568415232.

The previous prime is 2164432289. The next prime is 2164432331. The reversal of 2164432320 is 232344612.

2164432320 is a `hidden beast` number, since 216 + 443 + 2 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577011 + ... + 580749.

Almost surely, 2^2164432320 is an apocalyptic number.

2164432320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875836800).

2164432320 is an abundant number, since it is smaller than the sum of its proper divisors (5587241280).

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

2164432320 is a wasteful number, since it uses less digits than its factorization.

2164432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2164432320 is about 46523.4598885337. The cubic root of 2164432320 is about 1293.5443899253.

Adding to 2164432320 its reverse (232344612), we get a palindrome (2396776932).

The spelling of 2164432320 in words is "two billion, one hundred sixty-four million, four hundred thirty-two thousand, three hundred twenty".