2306330645160 has 256 divisors, whose sum is σ = 7133859532800. Its totient is φ = 596058393600.

The previous prime is 2306330645147. The next prime is 2306330645207. The reversal of 2306330645160 is 615460336032.

It is a super-2 number, since 2×2306330645160² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1873541745 + ... + 1873542975.

It is an arithmetic number, because the mean of its divisors is an integer number (27866638800).

Almost surely, 2^{2306330645160} is an apocalyptic number.

2306330645160 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 2306330645160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566929766400).

2306330645160 is an abundant number, since it is smaller than the sum of its proper divisors (4827528887640).

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

2306330645160 is a wasteful number, since it uses less digits than its factorization.

2306330645160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 2306330645160 in words is "two trillion, three hundred six billion, three hundred thirty million, six hundred forty-five thousand, one hundred sixty".