2241120042 has 64 divisors (see below), whose sum is σ = 5718912000. Its totient is φ = 637262640.

The previous prime is 2241120019. The next prime is 2241120059. The reversal of 2241120042 is 2400211422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2241119997 and 2241120024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65709 + ... + 93807.

It is an arithmetic number, because the mean of its divisors is an integer number (89358000).

Almost surely, 2^2241120042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241120042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859456000).

2241120042 is an abundant number, since it is smaller than the sum of its proper divisors (3477791958).

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

2241120042 is a wasteful number, since it uses less digits than its factorization.

2241120042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28328 (or 28322 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2241120042 is about 47340.4693893079. The cubic root of 2241120042 is about 1308.6445670026.

Adding to 2241120042 its reverse (2400211422), we get a palindrome (4641331464).

The spelling of 2241120042 in words is "two billion, two hundred forty-one million, one hundred twenty thousand, forty-two".