2305314330 has 64 divisors (see below), whose sum is σ = 6045843456. Its totient is φ = 557928000.

The previous prime is 2305314317. The next prime is 2305314343. The reversal of 2305314330 is 334135032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2305314317) and next prime (2305314343).

It is a self number, because there is not a number n which added to its sum of digits gives 2305314330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202695 + ... + 213765.

It is an arithmetic number, because the mean of its divisors is an integer number (94466304).

Almost surely, 2^2305314330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305314330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022921728).

2305314330 is an abundant number, since it is smaller than the sum of its proper divisors (3740529126).

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

2305314330 is a wasteful number, since it uses less digits than its factorization.

2305314330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11723.

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 2305314330 is about 48013.6889855383. The cubic root of 2305314330 is about 1321.0219989257.

Adding to 2305314330 its reverse (334135032), we get a palindrome (2639449362).

The spelling of 2305314330 in words is "two billion, three hundred five million, three hundred fourteen thousand, three hundred thirty".