2129328000 has 640 divisors, whose sum is σ = 8317520640. Its totient is φ = 539136000.

The previous prime is 2129327999. The next prime is 2129328067. The reversal of 2129328000 is 8239212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 40175974 + ... + 40176026.

It is an arithmetic number, because the mean of its divisors is an integer number (12996126).

Almost surely, 2^2129328000 is an apocalyptic number.

2129328000 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 2129328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158760320).

2129328000 is an abundant number, since it is smaller than the sum of its proper divisors (6188192640).

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

2129328000 is an equidigital number, since it uses as much as digits as its factorization.

2129328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2129328000 is about 46144.6421591933. The cubic root of 2129328000 is about 1286.5130274935.

The spelling of 2129328000 in words is "two billion, one hundred twenty-nine million, three hundred twenty-eight thousand".