2380665600 has 432 divisors, whose sum is σ = 9124416000. Its totient is φ = 606228480.

The previous prime is 2380665583. The next prime is 2380665613. The reversal of 2380665600 is 65660832.

2380665600 is a `hidden beast` number, since 2 + 38 + 0 + 66 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3974101 + ... + 3974699.

Almost surely, 2^2380665600 is an apocalyptic number.

2380665600 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 2380665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562208000).

2380665600 is an abundant number, since it is smaller than the sum of its proper divisors (6743750400).

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

2380665600 is a wasteful number, since it uses less digits than its factorization.

2380665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2380665600 is about 48792.0649286336. The cubic root of 2380665600 is about 1335.2609009085.

The spelling of 2380665600 in words is "two billion, three hundred eighty million, six hundred sixty-five thousand, six hundred".