2380976400 has 240 divisors, whose sum is σ = 8459690688. Its totient is φ = 567552000.

The previous prime is 2380976383. The next prime is 2380976401. The reversal of 2380976400 is 46790832.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2380976401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803722 + ... + 806678.

Almost surely, 2^2380976400 is an apocalyptic number.

2380976400 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 2380976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229845344).

2380976400 is an abundant number, since it is smaller than the sum of its proper divisors (6078714288).

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

2380976400 is a wasteful number, since it uses less digits than its factorization.

2380976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2380976400 is about 48795.2497688043. The cubic root of 2380976400 is about 1335.3190052512.

The spelling of 2380976400 in words is "two billion, three hundred eighty million, nine hundred seventy-six thousand, four hundred".