2328868800 has 672 divisors, whose sum is σ = 9191792640. Its totient is φ = 572313600.

The previous prime is 2328868771. The next prime is 2328868889. The reversal of 2328868800 is 88688232.

It is a super-2 number, since 2×2328868800² = 10847259775226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49550377 + ... + 49550423.

Almost surely, 2^2328868800 is an apocalyptic number.

2328868800 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 2328868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595896320).

2328868800 is an abundant number, since it is smaller than the sum of its proper divisors (6862923840).

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

2328868800 is a wasteful number, since it uses less digits than its factorization.

2328868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2328868800 is about 48258.3547170850. The cubic root of 2328868800 is about 1325.5059275982.

The spelling of 2328868800 in words is "two billion, three hundred twenty-eight million, eight hundred sixty-eight thousand, eight hundred".