2004200042 has 16 divisors (see below), whose sum is σ = 3238944072. Its totient is φ = 924618240.

The previous prime is 2004200041. The next prime is 2004200069. The reversal of 2004200042 is 2400024002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 508908481 + 1495291561 = 22559^2 + 38669^2 .

It is not an unprimeable number, because it can be changed into a prime (2004200041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50258 + ... + 80834.

Almost surely, 2^2004200042 is an apocalyptic number.

2004200042 is a deficient number, since it is larger than the sum of its proper divisors (1234744030).

2004200042 is a wasteful number, since it uses less digits than its factorization.

2004200042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33113.

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2004200042 is about 44768.2928198072. The cubic root of 2004200042 is about 1260.8023867949.

Adding to 2004200042 its reverse (2400024002), we get a palindrome (4404224044).

The spelling of 2004200042 in words is "two billion, four million, two hundred thousand, forty-two".