2380042800 has 180 divisors, whose sum is σ = 8298350320. Its totient is φ = 631687680.

The previous prime is 2380042799. The next prime is 2380042849. The reversal of 2380042800 is 82400832.

2380042800 is a `hidden beast` number, since 2 + 380 + 0 + 4 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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, 822957 + ... + 825843.

Almost surely, 2^2380042800 is an apocalyptic number.

2380042800 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 2380042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149175160).

2380042800 is an abundant number, since it is smaller than the sum of its proper divisors (5918307520).

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

2380042800 is a wasteful number, since it uses less digits than its factorization.

2380042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2380042800 is about 48785.6823258628. The cubic root of 2380042800 is about 1335.1444526601.

The spelling of 2380042800 in words is "two billion, three hundred eighty million, forty-two thousand, eight hundred".