2225205025200 has 360 divisors, whose sum is σ = 7788106216800. Its totient is φ = 588335616000.

The previous prime is 2225205025129. The next prime is 2225205025213. The reversal of 2225205025200 is 25205025222.

2225205025200 is a nontrivial binomial coefficient, being equal to C(2109600, 2).

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 209899900 + ... + 209910500.

It is an arithmetic number, because the mean of its divisors is an integer number (21633628380).

Almost surely, 2^{2225205025200} is an apocalyptic number.

2225205025200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2225205025200 is the 2109599-th triangular number and also the 1054800-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225205025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894053108400).

2225205025200 is an abundant number, since it is smaller than the sum of its proper divisors (5562901191600).

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

2225205025200 is a wasteful number, since it uses less digits than its factorization.

2225205025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11117 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The spelling of 2225205025200 in words is "two trillion, two hundred twenty-five billion, two hundred five million, twenty-five thousand, two hundred".