2008342120 has 16 divisors (see below), whose sum is σ = 4518769860. Its totient is φ = 803336832.

The previous prime is 2008342109. The next prime is 2008342151. The reversal of 2008342120 is 212438002.

It can be written as a sum of positive squares in 2 ways, for example, as 2008294596 + 47524 = 44814^2 + 218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2008342091 and 2008342100.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 25104237 + ... + 25104316.

Almost surely, 2^2008342120 is an apocalyptic number.

2008342120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008342120 is an abundant number, since it is smaller than the sum of its proper divisors (2510427740).

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

2008342120 is a wasteful number, since it uses less digits than its factorization.

2008342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50208564 (or 50208560 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2008342120 is about 44814.5302329501. The cubic root of 2008342120 is about 1261.6703554232.

The spelling of 2008342120 in words is "two billion, eight million, three hundred forty-two thousand, one hundred twenty".