2159328000 has 288 divisors, whose sum is σ = 7285404672. Its totient is φ = 566784000.

The previous prime is 2159327977. The next prime is 2159328013. The reversal of 2159328000 is 8239512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7967865 + ... + 7968135.

It is an arithmetic number, because the mean of its divisors is an integer number (25296544).

Almost surely, 2^2159328000 is an apocalyptic number.

2159328000 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 2159328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642702336).

2159328000 is an abundant number, since it is smaller than the sum of its proper divisors (5126076672).

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

2159328000 is an equidigital number, since it uses as much as digits as its factorization.

2159328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2159328000 is about 46468.5700231888. The cubic root of 2159328000 is about 1292.5267464008.

The spelling of 2159328000 in words is "two billion, one hundred fifty-nine million, three hundred twenty-eight thousand".