2320928000 has 288 divisors, whose sum is σ = 6227413920. Its totient is φ = 860160000.

The previous prime is 2320927993. The next prime is 2320928023. The reversal of 2320928000 is 8290232.

It can be written as a sum of positive squares in 16 ways, for example, as 2320926976 + 1024 = 48176^2 + 32^2 .

It is a congruent number.

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, 38047970 + ... + 38048030.

It is an arithmetic number, because the mean of its divisors is an integer number (21622965).

Almost surely, 2^2320928000 is an apocalyptic number.

2320928000 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 2320928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113706960).

2320928000 is an abundant number, since it is smaller than the sum of its proper divisors (3906485920).

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

2320928000 is an equidigital number, since it uses as much as digits as its factorization.

2320928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2320928000 is about 48176.0106276973. The cubic root of 2320928000 is about 1323.9976755678.

It can be divided in two parts, 2320 and 928000, that multiplied together give a square (2152960000 = 46400²).

The spelling of 2320928000 in words is "two billion, three hundred twenty million, nine hundred twenty-eight thousand".