2305522225200 has 240 divisors, whose sum is σ = 7430047303680. Its totient is φ = 611096002560.

The previous prime is 2305522225199. The next prime is 2305522225213. The reversal of 2305522225200 is 25222255032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147715797 + ... + 147731403.

It is an arithmetic number, because the mean of its divisors is an integer number (30958530432).

Almost surely, 2^{2305522225200} is an apocalyptic number.

2305522225200 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 2305522225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715023651840).

2305522225200 is an abundant number, since it is smaller than the sum of its proper divisors (5124525078480).

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

2305522225200 is a wasteful number, since it uses less digits than its factorization.

2305522225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16364 (or 16353 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 2305522225200 in words is "two trillion, three hundred five billion, five hundred twenty-two million, two hundred twenty-five thousand, two hundred".