2262442142224 has 120 divisors (see below), whose sum is σ = 4973424492960. Its totient is φ = 995636928000.

The previous prime is 2262442142221. The next prime is 2262442142227. The reversal of 2262442142224 is 4222412442622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2262442142221) and next prime (2262442142227).

It is a super-2 number, since 2×2262442142224² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2262442142221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10289467 + ... + 10507045.

It is an arithmetic number, because the mean of its divisors is an integer number (41445204108).

Almost surely, 2^{2262442142224} 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 2262442142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486712246480).

2262442142224 is an abundant number, since it is smaller than the sum of its proper divisors (2710982350736).

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

2262442142224 is a wasteful number, since it uses less digits than its factorization.

2262442142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217781 (or 217764 counting only the distinct ones).

The product of its digits is 196608, while the sum is 37.

Adding to 2262442142224 its reverse (4222412442622), we get a palindrome (6484854584846).

The spelling of 2262442142224 in words is "two trillion, two hundred sixty-two billion, four hundred forty-two million, one hundred forty-two thousand, two hundred twenty-four".