2224324213056 has 504 divisors, whose sum is σ = 7810760543040. Its totient is φ = 600993423360.

The previous prime is 2224324212997. The next prime is 2224324213061. The reversal of 2224324213056 is 6503124234222.

2224324213056 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 324 + 21 + 305 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2224324213056.

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 71 ways as a sum of consecutive naturals, for example, 22462405 + ... + 22561211.

It is an arithmetic number, because the mean of its divisors is an integer number (15497540760).

Almost surely, 2^{2224324213056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224324213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905380271520).

2224324213056 is an abundant number, since it is smaller than the sum of its proper divisors (5586436329984).

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

2224324213056 is a wasteful number, since it uses less digits than its factorization.

2224324213056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98883 (or 98859 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2224324213056 its reverse (6503124234222), we get a palindrome (8727448447278).

The spelling of 2224324213056 in words is "two trillion, two hundred twenty-four billion, three hundred twenty-four million, two hundred thirteen thousand, fifty-six".