2328668160 has 768 divisors, whose sum is σ = 9906624000. Its totient is φ = 462422016.

The previous prime is 2328668131. The next prime is 2328668191. The reversal of 2328668160 is 618668232.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136980472 + ... + 136980488.

It is an arithmetic number, because the mean of its divisors is an integer number (12899250).

Almost surely, 2^2328668160 is an apocalyptic number.

2328668160 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 2328668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312000).

2328668160 is an abundant number, since it is smaller than the sum of its proper divisors (7577955840).

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

2328668160 is a wasteful number, since it uses less digits than its factorization.

2328668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2328668160 is about 48256.2758612805. The cubic root of 2328668160 is about 1325.4678608842.

The spelling of 2328668160 in words is "two billion, three hundred twenty-eight million, six hundred sixty-eight thousand, one hundred sixty".