2005340035 has 16 divisors (see below), whose sum is σ = 2431123200. Its totient is φ = 1587828096.

The previous prime is 2005339979. The next prime is 2005340039. The reversal of 2005340035 is 5300435002.

It is a cyclic number.

It is not a de Polignac number, because 2005340035 - 2²⁷ = 1871122307 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005339988 and 2005340015.

It is not an unprimeable number, because it can be changed into a prime (2005340039) 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, 782977 + ... + 785533.

It is an arithmetic number, because the mean of its divisors is an integer number (151945200).

Almost surely, 2^2005340035 is an apocalyptic number.

2005340035 is a deficient number, since it is larger than the sum of its proper divisors (425783165).

2005340035 is a wasteful number, since it uses less digits than its factorization.

2005340035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110.

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 2005340035 is about 44781.0231571366. The cubic root of 2005340035 is about 1261.0413904600.

Adding to 2005340035 its reverse (5300435002), we get a palindrome (7305775037).

The spelling of 2005340035 in words is "two billion, five million, three hundred forty thousand, thirty-five".