2005712835 has 96 divisors (see below), whose sum is σ = 3870104832. Its totient is φ = 883733760.

The previous prime is 2005712833. The next prime is 2005712851. The reversal of 2005712835 is 5382175002.

It is not a de Polignac number, because 2005712835 - 2¹ = 2005712833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005712796 and 2005712805.

It is not an unprimeable number, because it can be changed into a prime (2005712831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3562264 + ... + 3562826.

It is an arithmetic number, because the mean of its divisors is an integer number (40313592).

Almost surely, 2^2005712835 is an apocalyptic number.

2005712835 is a deficient number, since it is larger than the sum of its proper divisors (1864391997).

2005712835 is a wasteful number, since it uses less digits than its factorization.

2005712835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 2005712835 is about 44785.1854411702. The cubic root of 2005712835 is about 1261.1195296771.

Adding to 2005712835 its reverse (5382175002), we get a palindrome (7387887837).

The spelling of 2005712835 in words is "two billion, five million, seven hundred twelve thousand, eight hundred thirty-five".