2042344501056 has 112 divisors (see below), whose sum is σ = 6006107042880. Its totient is φ = 680555589120.

The previous prime is 2042344501051. The next prime is 2042344501133. The reversal of 2042344501056 is 6501054432402.

2042344501056 is a `hidden beast` number, since 20 + 42 + 3 + 44 + 501 + 0 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2042344501056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042344501051) 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 15 ways as a sum of consecutive naturals, for example, 5053351 + ... + 5442521.

It is an arithmetic number, because the mean of its divisors is an integer number (53625955740).

Almost surely, 2^{2042344501056} 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 2042344501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003053521440).

2042344501056 is an abundant number, since it is smaller than the sum of its proper divisors (3963762541824).

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

2042344501056 is a wasteful number, since it uses less digits than its factorization.

2042344501056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392229 (or 392213 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2042344501056 its reverse (6501054432402), we get a palindrome (8543398933458).

The spelling of 2042344501056 in words is "two trillion, forty-two billion, three hundred forty-four million, five hundred one thousand, fifty-six".