2330864640 has 352 divisors, whose sum is σ = 8927540160. Its totient is φ = 573308928.

The previous prime is 2330864623. The next prime is 2330864659. The reversal of 2330864640 is 464680332.

It is a happy number.

2330864640 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 8 + 6 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2330864595 and 2330864604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796472 + ... + 1797768.

It is an arithmetic number, because the mean of its divisors is an integer number (25362330).

Almost surely, 2^2330864640 is an apocalyptic number.

2330864640 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 2330864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463770080).

2330864640 is an abundant number, since it is smaller than the sum of its proper divisors (6596675520).

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

2330864640 is a wasteful number, since it uses less digits than its factorization.

2330864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2330864640 is about 48279.0289877500. The cubic root of 2330864640 is about 1325.8844722346.

The spelling of 2330864640 in words is "two billion, three hundred thirty million, eight hundred sixty-four thousand, six hundred forty".