2005712834 has 16 divisors (see below), whose sum is σ = 3108581376. Its totient is φ = 969580800.

The previous prime is 2005712833. The next prime is 2005712851. The reversal of 2005712834 is 4382175002.

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 2005712834.

It is not an unprimeable number, because it can be changed into a prime (2005712831) 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, 52514 + ... + 82274.

It is an arithmetic number, because the mean of its divisors is an integer number (194286336).

Almost surely, 2^2005712834 is an apocalyptic number.

2005712834 is a deficient number, since it is larger than the sum of its proper divisors (1102868542).

2005712834 is a wasteful number, since it uses less digits than its factorization.

2005712834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30881.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2005712834 is about 44785.1854300058. The cubic root of 2005712834 is about 1261.1195294676.

Adding to 2005712834 its reverse (4382175002), we get a palindrome (6387887836).

The spelling of 2005712834 in words is "two billion, five million, seven hundred twelve thousand, eight hundred thirty-four".