2157456384 has 330 divisors, whose sum is σ = 6969912180. Its totient is φ = 662888448.

The previous prime is 2157456359. The next prime is 2157456397. The reversal of 2157456384 is 4836547512.

2157456384 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 4 + 5 + 638 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 58309614 + ... + 58309650.

It is an arithmetic number, because the mean of its divisors is an integer number (21120946).

Almost surely, 2^2157456384 is an apocalyptic number.

2157456384 is a gapful number since it is divisible by the number (24) 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 2157456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484956090).

2157456384 is an abundant number, since it is smaller than the sum of its proper divisors (4812455796).

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

2157456384 is an equidigital number, since it uses as much as digits as its factorization.

2157456384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 61 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 2157456384 is about 46448.4271423694. The cubic root of 2157456384 is about 1292.1532022542.

The spelling of 2157456384 in words is "two billion, one hundred fifty-seven million, four hundred fifty-six thousand, three hundred eighty-four".