2008705905 has 64 divisors (see below), whose sum is σ = 3645123840. Its totient is φ = 1049241600.

The previous prime is 2008705901. The next prime is 2008705927. The reversal of 2008705905 is 5095078002.

It is not a de Polignac number, because 2008705905 - 2² = 2008705901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2008705905.

It is not an unprimeable number, because it can be changed into a prime (2008705901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2906610 + ... + 2907300.

It is an arithmetic number, because the mean of its divisors is an integer number (56955060).

Almost surely, 2^2008705905 is an apocalyptic number.

It is an amenable number.

2008705905 is a deficient number, since it is larger than the sum of its proper divisors (1636417935).

2008705905 is a wasteful number, since it uses less digits than its factorization.

2008705905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 2008705905 is about 44818.5888332063. The cubic root of 2008705905 is about 1261.7465292046.

The spelling of 2008705905 in words is "two billion, eight million, seven hundred five thousand, nine hundred five".