2008084557 has 16 divisors (see below), whose sum is σ = 2837825280. Its totient is φ = 1258693632.

The previous prime is 2008084549. The next prime is 2008084567. The reversal of 2008084557 is 7554808002.

It is not a de Polignac number, because 2008084557 - 2³ = 2008084549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008084567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31948 + ... + 70970.

It is an arithmetic number, because the mean of its divisors is an integer number (177364080).

Almost surely, 2^2008084557 is an apocalyptic number.

It is an amenable number.

2008084557 is a deficient number, since it is larger than the sum of its proper divisors (829740723).

2008084557 is a wasteful number, since it uses less digits than its factorization.

2008084557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40052.

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 2008084557 is about 44811.6564857850. The cubic root of 2008084557 is about 1261.6164181498.

The spelling of 2008084557 in words is "two billion, eight million, eighty-four thousand, five hundred fifty-seven".