2008107975 has 24 divisors (see below), whose sum is σ = 3326949760. Its totient is φ = 1068772320.

The previous prime is 2008107953. The next prime is 2008108001. The reversal of 2008107975 is 5797018002.

It is not a de Polignac number, because 2008107975 - 2⁹ = 2008107463 is a prime.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9036 + ... + 64014.

Almost surely, 2^2008107975 is an apocalyptic number.

2008107975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2008107975 is a deficient number, since it is larger than the sum of its proper divisors (1318841785).

2008107975 is a wasteful number, since it uses less digits than its factorization.

2008107975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55479 (or 55474 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 2008107975 is about 44811.9177786446. The cubic root of 2008107975 is about 1261.6213223952.

The spelling of 2008107975 in words is "two billion, eight million, one hundred seven thousand, nine hundred seventy-five".