2380441648320 has 336 divisors, whose sum is σ = 8227235727360. Its totient is φ = 631727382528.

The previous prime is 2380441648307. The next prime is 2380441648367. The reversal of 2380441648320 is 238461440832.

It is a happy number.

2380441648320 is a `hidden beast` number, since 23 + 80 + 44 + 16 + 483 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1020333874 + ... + 1020336206.

Almost surely, 2^{2380441648320} is an apocalyptic number.

2380441648320 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 2380441648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113617863680).

2380441648320 is an abundant number, since it is smaller than the sum of its proper divisors (5846794079040).

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

2380441648320 is a wasteful number, since it uses less digits than its factorization.

2380441648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 2380441648320 in words is "two trillion, three hundred eighty billion, four hundred forty-one million, six hundred forty-eight thousand, three hundred twenty".