2301868800 has 864 divisors, whose sum is σ = 10584322560. Its totient is φ = 475545600.

The previous prime is 2301868787. The next prime is 2301868837. The reversal of 2301868800 is 88681032.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13305514 + ... + 13305686.

Almost surely, 2^2301868800 is an apocalyptic number.

2301868800 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 2301868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292161280).

2301868800 is an abundant number, since it is smaller than the sum of its proper divisors (8282453760).

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

2301868800 is a wasteful number, since it uses less digits than its factorization.

2301868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2301868800 is about 47977.7948638743. The cubic root of 2301868800 is about 1320.3635362343.

The spelling of 2301868800 in words is "two billion, three hundred one million, eight hundred sixty-eight thousand, eight hundred".