2320323200 has 288 divisors, whose sum is σ = 6591283860. Its totient is φ = 802160640.

The previous prime is 2320323193. The next prime is 2320323223. The reversal of 2320323200 is 23230232.

It can be written as a sum of positive squares in 18 ways, for example, as 72046144 + 2248277056 = 8488^2 + 47416^2 .

It is a super-3 number, since 3×2320323200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12022304 + ... + 12022496.

Almost surely, 2^2320323200 is an apocalyptic number.

2320323200 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 2320323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295641930).

2320323200 is an abundant number, since it is smaller than the sum of its proper divisors (4270960660).

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

2320323200 is a wasteful number, since it uses less digits than its factorization.

2320323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2320323200 is about 48169.7332357156. The cubic root of 2320323200 is about 1323.8826607463.

Adding to 2320323200 its reverse (23230232), we get a palindrome (2343553432).

The spelling of 2320323200 in words is "two billion, three hundred twenty million, three hundred twenty-three thousand, two hundred".