2042404424224 has 36 divisors (see below), whose sum is σ = 4243752914814. Its totient is φ = 967454721792.

The previous prime is 2042404424209. The next prime is 2042404424227. The reversal of 2042404424224 is 4224244042402.

It can be written as a sum of positive squares in only one way, i.e., 1771933699600 + 270470724624 = 1331140^2 + 520068^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2042404424224.

It is not an unprimeable number, because it can be changed into a prime (2042404424227) 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 5 ways as a sum of consecutive naturals, for example, 88388917 + ... + 88412020.

Almost surely, 2^{2042404424224} is an apocalyptic number.

It is an amenable number.

2042404424224 is an abundant number, since it is smaller than the sum of its proper divisors (2201348490590).

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

2042404424224 is a wasteful number, since it uses less digits than its factorization.

2042404424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176800985 (or 176800958 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 2042404424224 its reverse (4224244042402), we get a palindrome (6266648466626).

The spelling of 2042404424224 in words is "two trillion, forty-two billion, four hundred four million, four hundred twenty-four thousand, two hundred twenty-four".