2042144856 has 96 divisors (see below), whose sum is σ = 5914490400. Its totient is φ = 634291200.

The previous prime is 2042144843. The next prime is 2042144857. The reversal of 2042144856 is 6584412402.

2042144856 is a `hidden beast` number, since 204 + 2 + 1 + 448 + 5 + 6 = 666.

It is a super-2 number, since 2×2042144856² = 8340711225774521472, which contains 22 as substring.

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 2042144856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042144857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115365 + ... + 131883.

It is an arithmetic number, because the mean of its divisors is an integer number (61609275).

Almost surely, 2^2042144856 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 2042144856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957245200).

2042144856 is an abundant number, since it is smaller than the sum of its proper divisors (3872345544).

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

2042144856 is a wasteful number, since it uses less digits than its factorization.

2042144856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16649 (or 16642 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2042144856 is about 45190.0968797368. The cubic root of 2042144856 is about 1268.7094700473.

The spelling of 2042144856 in words is "two billion, forty-two million, one hundred forty-four thousand, eight hundred fifty-six".