2330928864 has 288 divisors, whose sum is σ = 7534695168. Its totient is φ = 677376000.

The previous prime is 2330928863. The next prime is 2330928877. The reversal of 2330928864 is 4688290332.

2330928864 is a `hidden beast` number, since 2 + 3 + 309 + 288 + 64 = 666.

2330928864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330928863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9671784 + ... + 9672024.

It is an arithmetic number, because the mean of its divisors is an integer number (26162136).

Almost surely, 2^2330928864 is an apocalyptic number.

2330928864 is a gapful number since it is divisible by the number (24) 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 2330928864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767347584).

2330928864 is an abundant number, since it is smaller than the sum of its proper divisors (5203766304).

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

2330928864 is a wasteful number, since it uses less digits than its factorization.

2330928864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2330928864 is about 48279.6941166781. The cubic root of 2330928864 is about 1325.8966498075.

The spelling of 2330928864 in words is "two billion, three hundred thirty million, nine hundred twenty-eight thousand, eight hundred sixty-four".