2320387200 has 576 divisors, whose sum is σ = 8997281280. Its totient is φ = 567705600.

The previous prime is 2320387159. The next prime is 2320387207. The reversal of 2320387200 is 27830232.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (2320387207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 20534344 + ... + 20534456.

It is an arithmetic number, because the mean of its divisors is an integer number (15620280).

Almost surely, 2^2320387200 is an apocalyptic number.

2320387200 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 2320387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498640640).

2320387200 is an abundant number, since it is smaller than the sum of its proper divisors (6676894080).

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

2320387200 is a wasteful number, since it uses less digits than its factorization.

2320387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2320387200 is about 48170.3975487020. The cubic root of 2320387200 is about 1323.8948325724.

The spelling of 2320387200 in words is "two billion, three hundred twenty million, three hundred eighty-seven thousand, two hundred".