2363140800 has 252 divisors, whose sum is σ = 8440770520. Its totient is φ = 627056640.

The previous prime is 2363140711. The next prime is 2363140823. The reversal of 2363140800 is 80413632.

It is a happy number.

2363140800 is a `hidden beast` number, since 23 + 631 + 4 + 0 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5457384 + ... + 5457816.

Almost surely, 2^2363140800 is an apocalyptic number.

2363140800 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 2363140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220385260).

2363140800 is an abundant number, since it is smaller than the sum of its proper divisors (6077629720).

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

2363140800 is a wasteful number, since it uses less digits than its factorization.

2363140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2363140800 is about 48612.1466302405. The cubic root of 2363140800 is about 1331.9764084234.

The spelling of 2363140800 in words is "two billion, three hundred sixty-three million, one hundred forty thousand, eight hundred".