2305413344 has 48 divisors (see below), whose sum is σ = 4931276112. Its totient is φ = 1054599168.

The previous prime is 2305413323. The next prime is 2305413373. The reversal of 2305413344 is 4433145032.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22487 + ... + 71529.

It is an arithmetic number, because the mean of its divisors is an integer number (102734919).

Almost surely, 2^2305413344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465638056).

2305413344 is an abundant number, since it is smaller than the sum of its proper divisors (2625862768).

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

2305413344 is a wasteful number, since it uses less digits than its factorization.

2305413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49179 (or 49171 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 2305413344 is about 48014.7200762433. The cubic root of 2305413344 is about 1321.0409114298.

Adding to 2305413344 its reverse (4433145032), we get a palindrome (6738558376).

The spelling of 2305413344 in words is "two billion, three hundred five million, four hundred thirteen thousand, three hundred forty-four".