2224113091200 has 2304 divisors, whose sum is σ = 10739912601600. Its totient is φ = 423235584000.

The previous prime is 2224113091183. The next prime is 2224113091219. The reversal of 2224113091200 is 21903114222.

2224113091200 is a `hidden beast` number, since 2 + 2 + 241 + 130 + 91 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5160354985 + ... + 5160355415.

It is an arithmetic number, because the mean of its divisors is an integer number (4661420400).

Almost surely, 2^{2224113091200} is an apocalyptic number.

2224113091200 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 2224113091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369956300800).

2224113091200 is an abundant number, since it is smaller than the sum of its proper divisors (8515799510400).

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

2224113091200 is a wasteful number, since it uses less digits than its factorization.

2224113091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 2224113091200 in words is "two trillion, two hundred twenty-four billion, one hundred thirteen million, ninety-one thousand, two hundred".