2005035385 has 32 divisors (see below), whose sum is σ = 2482099200. Its totient is φ = 1554409920.

The previous prime is 2005035371. The next prime is 2005035397. The reversal of 2005035385 is 5835305002.

It is not a de Polignac number, because 2005035385 - 2⁵ = 2005035353 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 8832642 + ... + 8832868.

It is an arithmetic number, because the mean of its divisors is an integer number (77565600).

Almost surely, 2^2005035385 is an apocalyptic number.

It is an amenable number.

2005035385 is a deficient number, since it is larger than the sum of its proper divisors (477063815).

2005035385 is a wasteful number, since it uses less digits than its factorization.

2005035385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 2005035385 is about 44777.6214754647. The cubic root of 2005035385 is about 1260.9775283536.

The spelling of 2005035385 in words is "two billion, five million, thirty-five thousand, three hundred eighty-five".