2224322233140 has 384 divisors, whose sum is σ = 7402299125760. Its totient is φ = 488292360192.

The previous prime is 2224322233139. The next prime is 2224322233213. The reversal of 2224322233140 is 413322234222.

It is a super-4 number, since 4×2224322233140⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2224322233098 and 2224322233107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3750964684 + ... + 3750965276.

It is an arithmetic number, because the mean of its divisors is an integer number (19276820640).

Almost surely, 2^{2224322233140} is an apocalyptic number.

2224322233140 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 2224322233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701149562880).

2224322233140 is an abundant number, since it is smaller than the sum of its proper divisors (5177976892620).

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

2224322233140 is a wasteful number, since it uses less digits than its factorization.

2224322233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2224322233140 its reverse (413322234222), we get a palindrome (2637644467362).

The spelling of 2224322233140 in words is "two trillion, two hundred twenty-four billion, three hundred twenty-two million, two hundred thirty-three thousand, one hundred forty".