2042224241000 has 128 divisors (see below), whose sum is σ = 4901023670400. Its totient is φ = 796083724800.

The previous prime is 2042224240993. The next prime is 2042224241003. The reversal of 2042224241000 is 1424222402.

It is not an unprimeable number, because it can be changed into a prime (2042224241003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18995396 + ... + 19102604.

It is an arithmetic number, because the mean of its divisors is an integer number (38289247425).

Almost surely, 2^{2042224241000} is an apocalyptic number.

2042224241000 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 2042224241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450511835200).

2042224241000 is an abundant number, since it is smaller than the sum of its proper divisors (2858799429400).

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

2042224241000 is a wasteful number, since it uses less digits than its factorization.

2042224241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107716 (or 107702 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 2042224241000 its reverse (1424222402), we get a palindrome (2043648463402).

The spelling of 2042224241000 in words is "two trillion, forty-two billion, two hundred twenty-four million, two hundred forty-one thousand".