2330640000 has 640 divisors, whose sum is σ = 9368251200. Its totient is φ = 566784000.

The previous prime is 2330639999. The next prime is 2330640017. The reversal of 2330640000 is 460332.

2330640000 is a `hidden beast` number, since 23 + 3 + 0 + 640 + 0 + 0 + 0 = 666.

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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28079959 + ... + 28080041.

Almost surely, 2^2330640000 is an apocalyptic number.

2330640000 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 2330640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684125600).

2330640000 is an abundant number, since it is smaller than the sum of its proper divisors (7037611200).

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

2330640000 is an equidigital number, since it uses as much as digits as its factorization.

2330640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2330640000 is about 48276.7024557395. The cubic root of 2330640000 is about 1325.8418762738.

The spelling of 2330640000 in words is "two billion, three hundred thirty million, six hundred forty thousand".