2205305344 has 60 divisors (see below), whose sum is σ = 4843428282. Its totient is φ = 1002383360.

The previous prime is 2205305317. The next prime is 2205305371. The reversal of 2205305344 is 4435035022.

It is an interprime number because it is at equal distance from previous prime (2205305317) and next prime (2205305371).

It can be written as a sum of positive squares in only one way, i.e., 2142578944 + 62726400 = 46288^2 + 7920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44154 + ... + 79750.

Almost surely, 2^2205305344 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 2205305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421714141).

2205305344 is an abundant number, since it is smaller than the sum of its proper divisors (2638122938).

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

2205305344 is an equidigital number, since it uses as much as digits as its factorization.

2205305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35637 (or 35610 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 2205305344 is about 46960.6787003766. The cubic root of 2205305344 is about 1301.6360750156.

The spelling of 2205305344 in words is "two billion, two hundred five million, three hundred five thousand, three hundred forty-four".