2005659138 has 32 divisors (see below), whose sum is σ = 4659523200. Its totient is φ = 563650560.

The previous prime is 2005659113. The next prime is 2005659151. The reversal of 2005659138 is 8319565002.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2005659096 and 2005659105.

It is an unprimeable number.

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, 388863 + ... + 393986.

It is an arithmetic number, because the mean of its divisors is an integer number (145610100).

Almost surely, 2^2005659138 is an apocalyptic number.

2005659138 is an abundant number, since it is smaller than the sum of its proper divisors (2653864062).

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

2005659138 is a wasteful number, since it uses less digits than its factorization.

2005659138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782922.

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 2005659138 is about 44784.5859420404. The cubic root of 2005659138 is about 1261.1082753343.

The spelling of 2005659138 in words is "two billion, five million, six hundred fifty-nine thousand, one hundred thirty-eight".