2205242610200 has 192 divisors, whose sum is σ = 5958187699200. Its totient is φ = 743378342400.

The previous prime is 2205242610191. The next prime is 2205242610229. The reversal of 2205242610200 is 20162425022.

It is a self number, because there is not a number n which added to its sum of digits gives 2205242610200.

It is a congruent number.

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, 308034221 + ... + 308041379.

It is an arithmetic number, because the mean of its divisors is an integer number (31032227600).

Almost surely, 2^{2205242610200} is an apocalyptic number.

2205242610200 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 2205242610200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979093849600).

2205242610200 is an abundant number, since it is smaller than the sum of its proper divisors (3752945089000).

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

2205242610200 is a wasteful number, since it uses less digits than its factorization.

2205242610200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850 (or 10841 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 2205242610200 in words is "two trillion, two hundred five billion, two hundred forty-two million, six hundred ten thousand, two hundred".