2242133424144 has 40 divisors (see below), whose sum is σ = 6435753348320. Its totient is φ = 747377807904.

The previous prime is 2242133424107. The next prime is 2242133424151. The reversal of 2242133424144 is 4414243312422.

2242133424144 is a `hidden beast` number, since 2 + 2 + 4 + 213 + 3 + 424 + 14 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2242133424099 and 2242133424108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2595061402 + ... + 2595062265.

It is an arithmetic number, because the mean of its divisors is an integer number (160893833708).

Almost surely, 2^{2242133424144} is an apocalyptic number.

2242133424144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242133424144 is an abundant number, since it is smaller than the sum of its proper divisors (4193619924176).

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

2242133424144 is a wasteful number, since it uses less digits than its factorization.

2242133424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190123684 (or 5190123672 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 2242133424144 its reverse (4414243312422), we get a palindrome (6656376736566).

The spelling of 2242133424144 in words is "two trillion, two hundred forty-two billion, one hundred thirty-three million, four hundred twenty-four thousand, one hundred forty-four".