2005340211 has 48 divisors (see below), whose sum is σ = 3397115904. Its totient is φ = 1116130752.

The previous prime is 2005340209. The next prime is 2005340251. The reversal of 2005340211 is 1120435002.

2005340211 is a `hidden beast` number, since 200 + 53 + 402 + 11 = 666.

It is not a de Polignac number, because 2005340211 - 2¹ = 2005340209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005340251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658785 + ... + 661821.

It is an arithmetic number, because the mean of its divisors is an integer number (70773248).

Almost surely, 2^2005340211 is an apocalyptic number.

2005340211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2005340211 is a deficient number, since it is larger than the sum of its proper divisors (1391775693).

2005340211 is a wasteful number, since it uses less digits than its factorization.

2005340211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2005340211 is about 44781.0251222546. The cubic root of 2005340211 is about 1261.0414273521.

Adding to 2005340211 its reverse (1120435002), we get a palindrome (3125775213).

The spelling of 2005340211 in words is "two billion, five million, three hundred forty thousand, two hundred eleven".