2004242400042 has 32 divisors (see below), whose sum is σ = 4147132564800. Its totient is φ = 644977552128.

The previous prime is 2004242400031. The next prime is 2004242400103. The reversal of 2004242400042 is 2400042424002.

It is a super-2 number, since 2×2004242400042² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2004242399985 and 2004242400021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131298 + ... + 2299634.

It is an arithmetic number, because the mean of its divisors is an integer number (129597892650).

Almost surely, 2^{2004242400042} is an apocalyptic number.

2004242400042 is an abundant number, since it is smaller than the sum of its proper divisors (2142890164758).

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

2004242400042 is a wasteful number, since it uses less digits than its factorization.

2004242400042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178230.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2004242400042 its reverse (2400042424002), we get a palindrome (4404284824044).

The spelling of 2004242400042 in words is "two trillion, four billion, two hundred forty-two million, four hundred thousand, forty-two".