2306338560 has 432 divisors, whose sum is σ = 8638025760. Its totient is φ = 566231040.

The previous prime is 2306338499. The next prime is 2306338571. The reversal of 2306338560 is 658336032.

It is a happy number.

2306338560 is a `hidden beast` number, since 2 + 3 + 0 + 63 + 38 + 560 = 666.

2306338560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8973952 + ... + 8974208.

It is an arithmetic number, because the mean of its divisors is an integer number (19995430).

Almost surely, 2^2306338560 is an apocalyptic number.

2306338560 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 2306338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319012880).

2306338560 is an abundant number, since it is smaller than the sum of its proper divisors (6331687200).

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

2306338560 is a wasteful number, since it uses less digits than its factorization.

2306338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2306338560 is about 48024.3538217850. The cubic root of 2306338560 is about 1321.2176092762.

The spelling of 2306338560 in words is "two billion, three hundred six million, three hundred thirty-eight thousand, five hundred sixty".