2380381584000 has 1024 divisors, whose sum is σ = 9269185536000. Its totient is φ = 540139622400.

The previous prime is 2380381583969. The next prime is 2380381584029. The reversal of 2380381584000 is 4851830832.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2683631557 + ... + 2683632443.

It is an arithmetic number, because the mean of its divisors is an integer number (9051939000).

Almost surely, 2^{2380381584000} is an apocalyptic number.

2380381584000 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 2380381584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634592768000).

2380381584000 is an abundant number, since it is smaller than the sum of its proper divisors (6888803952000).

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

2380381584000 is an equidigital number, since it uses as much as digits as its factorization.

2380381584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 2380381584000 in words is "two trillion, three hundred eighty billion, three hundred eighty-one million, five hundred eighty-four thousand".