2320012800 has 720 divisors, whose sum is σ = 9978178320. Its totient is φ = 526417920.

The previous prime is 2320012777. The next prime is 2320012811. The reversal of 2320012800 is 82100232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16934332 + ... + 16934468.

It is an arithmetic number, because the mean of its divisors is an integer number (13858581).

Almost surely, 2^2320012800 is an apocalyptic number.

2320012800 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 2320012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989089160).

2320012800 is an abundant number, since it is smaller than the sum of its proper divisors (7658165520).

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

2320012800 is a wasteful number, since it uses less digits than its factorization.

2320012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2320012800 is about 48166.5111877537. The cubic root of 2320012800 is about 1323.8236242145.

The spelling of 2320012800 in words is "two billion, three hundred twenty million, twelve thousand, eight hundred".