2320164000 has 1152 divisors, whose sum is σ = 10989748224. Its totient is φ = 466560000.

The previous prime is 2320163981. The next prime is 2320164001. The reversal of 2320164000 is 4610232.

It is a happy number.

2320164000 is a `hidden beast` number, since 2 + 3 + 20 + 1 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320164001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74843985 + ... + 74844015.

It is an arithmetic number, because the mean of its divisors is an integer number (9539712).

Almost surely, 2^2320164000 is an apocalyptic number.

2320164000 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 2320164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494874112).

2320164000 is an abundant number, since it is smaller than the sum of its proper divisors (8669584224).

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

2320164000 is a wasteful number, since it uses less digits than its factorization.

2320164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2320164000 is about 48168.0807174212. The cubic root of 2320164000 is about 1323.8523823581.

Adding to 2320164000 its reverse (4610232), we get a palindrome (2324774232).

The spelling of 2320164000 in words is "two billion, three hundred twenty million, one hundred sixty-four thousand".