Khinchin's constant to as many decimal places as possible in 64 bytes or less Khinchin's constant is a curious mathematical constant that, according to Wolfram MathWold, is "notoriously difficult to calculate to high precision".

Here it is to 100 digits:


  2.685452001065306445309714835481795693820382293994462953051152345557218859537152002801141174931847697...


Write a program in 64 bytes or less that outputs Khinchin's constant to the maximum number of correct decimal places.


You may not use any built in library constants or functions directly relating to Khinchin's constant. (e.g. Math.Khinchin(precision) is definitely not allowed.)
You may use math libraries to compute logarithms, summations, etc.
You may hardcode all or part of your answer.
Your program must produce finite output and run in less than an hour on a reasonably modern computer (such as those listed here).
You must output to stdout. There is no input.
You may use any characters you want as long as http://mothereff.in/byte-counter registers 64 bytes or less.


Scoring

Your score is the number of successive digits in Khinchin's constant your program outputs correctly, starting with 2.68... You may output incorrect digits but only the last correct digit is counted towards your score.

For example, an output of


  2.68545200206530644530971483548179569382038229399446295305115234555721


would score 9 points. One for each of the digits 2 6 8 5 4 5 2 0 0 but nothing after the 2 that should be a 1.
CJam - 118

2'."*;TeT?_aN{.i9B*ZEay
G`9~eW}nE=Lr-`B}    )D&gt;9m9"136b


Try it at http://cjam.aditsu.net/

Since stackexchange destroys some of the characters, here's a program that generates the program above; run it first, then run its output:

"2'.\""685452001065306445309714835481795693820382293994462953051152345557218859537152002801141174931847697995153465905288090 136b:c"\"136b"


Explanation:

2 pushes 2
'. pushes the dot
"…" is a string containing the rest of the digits in encoded form
128b converts the string to a number, treating the characters as digits in base 128 (via their ASCII code)