2305440225 has 135 divisors (see below), whose sum is σ = 4742880681. Its totient is φ = 1106265600.

The previous prime is 2305440133. The next prime is 2305440233. The reversal of 2305440225 is 5220445032.

It is a happy number.

The square root of 2305440225 is 48015.

It is a perfect power (a square), and thus also a powerful number.

2305440225 is a `hidden beast` number, since 230 + 5 + 4 + 402 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84768849 + 2220671376 = 9207^2 + 47124^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2305440225 - 2²⁵ = 2271885793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 23767377 + ... + 23767473.

Almost surely, 2^2305440225 is an apocalyptic number.

2305440225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2305440225 is the 48015-th square number.

2305440225 is the 24008-th centered octagonal number.

It is an amenable number.

2305440225 is an abundant number, since it is smaller than the sum of its proper divisors (2437440456).

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

2305440225 is an equidigital number, since it uses as much as digits as its factorization.

2305440225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The cubic root of 2305440225 is about 1321.0460458326.

Adding to 2305440225 its reverse (5220445032), we get a palindrome (7525885257).

The spelling of 2305440225 in words is "two billion, three hundred five million, four hundred forty thousand, two hundred twenty-five".