2380821120 has 256 divisors, whose sum is σ = 8724672000. Its totient is φ = 612864000.

The previous prime is 2380821101. The next prime is 2380821133. The reversal of 2380821120 is 211280832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498745 + ... + 503495.

It is an arithmetic number, because the mean of its divisors is an integer number (34080750).

Almost surely, 2^2380821120 is an apocalyptic number.

2380821120 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 2380821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362336000).

2380821120 is an abundant number, since it is smaller than the sum of its proper divisors (6343850880).

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

2380821120 is a wasteful number, since it uses less digits than its factorization.

2380821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2380821120 is about 48793.6586043719. The cubic root of 2380821120 is about 1335.2899761460.

The spelling of 2380821120 in words is "two billion, three hundred eighty million, eight hundred twenty-one thousand, one hundred twenty".