2328814800 has 720 divisors, whose sum is σ = 9598621760. Its totient is φ = 537477120.

The previous prime is 2328814793. The next prime is 2328814841. The reversal of 2328814800 is 84188232.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24008352 + ... + 24008448.

Almost surely, 2^2328814800 is an apocalyptic number.

2328814800 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 2328814800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799310880).

2328814800 is an abundant number, since it is smaller than the sum of its proper divisors (7269806960).

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

2328814800 is a wasteful number, since it uses less digits than its factorization.

2328814800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2328814800 is about 48257.7952252276. The cubic root of 2328814800 is about 1325.4956825852.

The spelling of 2328814800 in words is "two billion, three hundred twenty-eight million, eight hundred fourteen thousand, eight hundred".