2224314422340 has 192 divisors, whose sum is σ = 6668631416832. Its totient is φ = 552985574400.

The previous prime is 2224314422339. The next prime is 2224314422389. The reversal of 2224314422340 is 432244134222.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 5648055 + ... + 6029025.

It is an arithmetic number, because the mean of its divisors is an integer number (34732455296).

Almost surely, 2^{2224314422340} is an apocalyptic number.

2224314422340 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 2224314422340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334315708416).

2224314422340 is an abundant number, since it is smaller than the sum of its proper divisors (4444316994492).

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

2224314422340 is a wasteful number, since it uses less digits than its factorization.

2224314422340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381130 (or 381128 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2224314422340 its reverse (432244134222), we get a palindrome (2656558556562).

The spelling of 2224314422340 in words is "two trillion, two hundred twenty-four billion, three hundred fourteen million, four hundred twenty-two thousand, three hundred forty".