2008564768 has 24 divisors (see below), whose sum is σ = 4519271232. Its totient is φ = 860813376.

The previous prime is 2008564759. The next prime is 2008564771. The reversal of 2008564768 is 8674658002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4483180 + ... + 4483627.

It is an arithmetic number, because the mean of its divisors is an integer number (188302968).

Almost surely, 2^2008564768 is an apocalyptic number.

2008564768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2008564768 is an abundant number, since it is smaller than the sum of its proper divisors (2510706464).

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

2008564768 is an equidigital number, since it uses as much as digits as its factorization.

2008564768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8966824 (or 8966816 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 2008564768 is about 44817.0142691367. The cubic root of 2008564768 is about 1261.7169772942.

The spelling of 2008564768 in words is "two billion, eight million, five hundred sixty-four thousand, seven hundred sixty-eight".