2305325200 has 60 divisors (see below), whose sum is σ = 5573972980. Its totient is φ = 916231680.

The previous prime is 2305325189. The next prime is 2305325203. The reversal of 2305325200 is 25235032.

It can be written as a sum of positive squares in 6 ways, for example, as 170145936 + 2135179264 = 13044^2 + 46208^2 .

It is not an unprimeable number, because it can be changed into a prime (2305325203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44446 + ... + 81154.

Almost surely, 2^2305325200 is an apocalyptic number.

2305325200 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 2305325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786986490).

2305325200 is an abundant number, since it is smaller than the sum of its proper divisors (3268647780).

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

2305325200 is a wasteful number, since it uses less digits than its factorization.

2305325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36884 (or 36873 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 2305325200 is about 48013.8021822892. The cubic root of 2305325200 is about 1321.0240752133.

The spelling of 2305325200 in words is "two billion, three hundred five million, three hundred twenty-five thousand, two hundred".