2241606536200 has 96 divisors (see below), whose sum is σ = 5232802969800. Its totient is φ = 893020252160.

The previous prime is 2241606536189. The next prime is 2241606536207. The reversal of 2241606536200 is 26356061422.

It can be written as a sum of positive squares in 12 ways, for example, as 16956727524 + 2224649808676 = 130218^2 + 1491526^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2241606536200.

It is not an unprimeable number, because it can be changed into a prime (2241606536207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257859054 + ... + 257867746.

Almost surely, 2^{2241606536200} is an apocalyptic number.

2241606536200 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 2241606536200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616401484900).

2241606536200 is an abundant number, since it is smaller than the sum of its proper divisors (2991196433600).

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

2241606536200 is a wasteful number, since it uses less digits than its factorization.

2241606536200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13771 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 2241606536200 in words is "two trillion, two hundred forty-one billion, six hundred six million, five hundred thirty-six thousand, two hundred".