2327904000 has 432 divisors, whose sum is σ = 8580630240. Its totient is φ = 605798400.

The previous prime is 2327903971. The next prime is 2327904013. The reversal of 2327904000 is 4097232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16991932 + ... + 16992068.

It is an arithmetic number, because the mean of its divisors is an integer number (19862570).

Almost surely, 2^2327904000 is an apocalyptic number.

2327904000 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 2327904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290315120).

2327904000 is an abundant number, since it is smaller than the sum of its proper divisors (6252726240).

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

2327904000 is a wasteful number, since it uses less digits than its factorization.

2327904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2327904000 is about 48248.3574849963. The cubic root of 2327904000 is about 1325.3228594981.

The spelling of 2327904000 in words is "two billion, three hundred twenty-seven million, nine hundred four thousand".