2008800042 has 16 divisors (see below), whose sum is σ = 4229052960. Its totient is φ = 634357872.

The previous prime is 2008800037. The next prime is 2008800077. The reversal of 2008800042 is 2400088002.

It is a junction number, because it is equal to n+sod(n) for n = 2008799985 and 2008800021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8810413 + ... + 8810640.

It is an arithmetic number, because the mean of its divisors is an integer number (264315810).

Almost surely, 2^2008800042 is an apocalyptic number.

2008800042 is an abundant number, since it is smaller than the sum of its proper divisors (2220252918).

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

2008800042 is a wasteful number, since it uses less digits than its factorization.

2008800042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17621077.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2008800042 is about 44819.6390213040. The cubic root of 2008800042 is about 1261.7662392705.

Adding to 2008800042 its reverse (2400088002), we get a palindrome (4408888044).

The spelling of 2008800042 in words is "two billion, eight million, eight hundred thousand, forty-two".