2005853838 has 16 divisors (see below), whose sum is σ = 4012917456. Its totient is φ = 668416320.

The previous prime is 2005853833. The next prime is 2005853869. The reversal of 2005853838 is 8383585002.

It is a super-3 number, since 3×2005853838³ (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005853838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005853833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28093 + ... + 69288.

It is an arithmetic number, because the mean of its divisors is an integer number (250807341).

Almost surely, 2^2005853838 is an apocalyptic number.

2005853838 is an abundant number, since it is smaller than the sum of its proper divisors (2007063618).

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

2005853838 is a wasteful number, since it uses less digits than its factorization.

2005853838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100819.

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 2005853838 is about 44786.7596282651. The cubic root of 2005853838 is about 1261.1490815098.

The spelling of 2005853838 in words is "two billion, five million, eight hundred fifty-three thousand, eight hundred thirty-eight".