2008009661 has 24 divisors (see below), whose sum is σ = 2480676480. Its totient is φ = 1616049792.

The previous prime is 2008009639. The next prime is 2008009667. The reversal of 2008009661 is 1669008002.

It is not a de Polignac number, because 2008009661 - 2¹⁰ = 2008008637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008009667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95660 + ... + 114746.

It is an arithmetic number, because the mean of its divisors is an integer number (103361520).

Almost surely, 2^2008009661 is an apocalyptic number.

It is an amenable number.

2008009661 is a deficient number, since it is larger than the sum of its proper divisors (472666819).

2008009661 is a wasteful number, since it uses less digits than its factorization.

2008009661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19233 (or 19226 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 2008009661 is about 44810.8208025696. The cubic root of 2008009661 is about 1261.6007330204.

The spelling of 2008009661 in words is "two billion, eight million, nine thousand, six hundred sixty-one".