2330664400 has 60 divisors (see below), whose sum is σ = 5705122572. Its totient is φ = 914667520.

The previous prime is 2330664383. The next prime is 2330664403. The reversal of 2330664400 is 44660332.

2330664400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 86936976 + 2243727424 = 9324^2 + 47368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330664403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33769 + ... + 76168.

Almost surely, 2^2330664400 is an apocalyptic number.

2330664400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2330664400 is an abundant number, since it is smaller than the sum of its proper divisors (3374458172).

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

2330664400 is a wasteful number, since it uses less digits than its factorization.

2330664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110008 (or 109997 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 2330664400 is about 48276.9551649646. The cubic root of 2330664400 is about 1325.8465031043.

The spelling of 2330664400 in words is "two billion, three hundred thirty million, six hundred sixty-four thousand, four hundred".