2381052960 has 576 divisors, whose sum is σ = 9880206336. Its totient is φ = 514252800.

The previous prime is 2381052959. The next prime is 2381052967. The reversal of 2381052960 is 692501832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2381052967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6383334 + ... + 6383706.

It is an arithmetic number, because the mean of its divisors is an integer number (17153136).

Almost surely, 2^2381052960 is an apocalyptic number.

2381052960 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 2381052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940103168).

2381052960 is an abundant number, since it is smaller than the sum of its proper divisors (7499153376).

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

2381052960 is a wasteful number, since it uses less digits than its factorization.

2381052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2381052960 is about 48796.0342650917. The cubic root of 2381052960 is about 1335.3333174366. Note that the first 4 decimals are identical.

The spelling of 2381052960 in words is "two billion, three hundred eighty-one million, fifty-two thousand, nine hundred sixty".