2241444410200 has 96 divisors (see below), whose sum is σ = 5371981171200. Its totient is φ = 869300301440.

The previous prime is 2241444410171. The next prime is 2241444410201. The reversal of 2241444410200 is 20144441422.

It is a happy number.

2241444410200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241444410201) 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, 108460 + ... + 2120059.

It is an arithmetic number, because the mean of its divisors is an integer number (55958137200).

Almost surely, 2^{2241444410200} is an apocalyptic number.

2241444410200 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 2241444410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685990585600).

2241444410200 is an abundant number, since it is smaller than the sum of its proper divisors (3130536761000).

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

2241444410200 is a wasteful number, since it uses less digits than its factorization.

2241444410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228689 (or 2228680 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 2241444410200 its reverse (20144441422), we get a palindrome (2261588851622).

The spelling of 2241444410200 in words is "two trillion, two hundred forty-one billion, four hundred forty-four million, four hundred ten thousand, two hundred".