2385676800 has 720 divisors, whose sum is σ = 9696566880. Its totient is φ = 577290240.

The previous prime is 2385676781. The next prime is 2385676801. The reversal of 2385676800 is 86765832.

2385676800 is a `hidden beast` number, since 2 + 3 + 8 + 567 + 6 + 80 + 0 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (2385676801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40435171 + ... + 40435229.

It is an arithmetic number, because the mean of its divisors is an integer number (13467454).

Almost surely, 2^2385676800 is an apocalyptic number.

2385676800 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 2385676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848283440).

2385676800 is an abundant number, since it is smaller than the sum of its proper divisors (7310890080).

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

2385676800 is an equidigital number, since it uses as much as digits as its factorization.

2385676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2385676800 is about 48843.3905457023. The cubic root of 2385676800 is about 1336.1971334716.

The spelling of 2385676800 in words is "two billion, three hundred eighty-five million, six hundred seventy-six thousand, eight hundred".