The following is a sequence of numbers:  $$2$$, $$2$$, $$4$$, $$6$$, $$0$$, $$6$$, $$6$$, $$2$$, $$8$$, $$0$$, $$\cdots$$  where the first two numbers are $$2$$, and the subsequent numbers are obtained by taking the last digit of the sum of its two previous numbers.  What is the $$2011^{}\text{th}$$ number in this sequence? 
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