2242331241104 has 80 divisors (see below), whose sum is σ = 4679680392000. Its totient is φ = 1036966858752.

The previous prime is 2242331241083. The next prime is 2242331241113. The reversal of 2242331241104 is 4011421332422.

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 15 ways as a sum of consecutive naturals, for example, 48907439 + ... + 48953265.

It is an arithmetic number, because the mean of its divisors is an integer number (58496004900).

Almost surely, 2^{2242331241104} 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 2242331241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339840196000).

2242331241104 is an abundant number, since it is smaller than the sum of its proper divisors (2437349150896).

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

2242331241104 is a wasteful number, since it uses less digits than its factorization.

2242331241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48960 (or 48954 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2242331241104 its reverse (4011421332422), we get a palindrome (6253752573526).

The spelling of 2242331241104 in words is "two trillion, two hundred forty-two billion, three hundred thirty-one million, two hundred forty-one thousand, one hundred four".