2224121322340 has 96 divisors (see below), whose sum is σ = 5010909765120. Its totient is φ = 826236862464.

The previous prime is 2224121322331. The next prime is 2224121322349. The reversal of 2224121322340 is 432231214222.

It is an interprime number because it is at equal distance from previous prime (2224121322331) and next prime (2224121322349).

It is a junction number, because it is equal to n+sod(n) for n = 2224121322299 and 2224121322308.

It is not an unprimeable number, because it can be changed into a prime (2224121322349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47975652 + ... + 48021988.

It is an arithmetic number, because the mean of its divisors is an integer number (52196976720).

Almost surely, 2^{2224121322340} is an apocalyptic number.

2224121322340 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 2224121322340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505454882560).

2224121322340 is an abundant number, since it is smaller than the sum of its proper divisors (2786788442780).

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

2224121322340 is a wasteful number, since it uses less digits than its factorization.

2224121322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48229 (or 48227 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2224121322340 its reverse (432231214222), we get a palindrome (2656352536562).

The spelling of 2224121322340 in words is "two trillion, two hundred twenty-four billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred forty".