2242005155104 has 144 divisors (see below), whose sum is σ = 5227654614336. Its totient is φ = 940205882880.

The previous prime is 2242005155059. The next prime is 2242005155107. The reversal of 2242005155104 is 4015515002422.

It is a super-2 number, since 2×2242005155104² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2242005155107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 104839197 + ... + 104860579.

It is an arithmetic number, because the mean of its divisors is an integer number (36303157044).

Almost surely, 2^{2242005155104} 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 2242005155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613827307168).

2242005155104 is an abundant number, since it is smaller than the sum of its proper divisors (2985649459232).

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

2242005155104 is a wasteful number, since it uses less digits than its factorization.

2242005155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23511 (or 23492 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 2242005155104 in words is "two trillion, two hundred forty-two billion, five million, one hundred fifty-five thousand, one hundred four".