D it is.

Here is my approach:

1 day = 1440 minutes
.5 day = 720 minutes

Now consider 2,880,717, if you look at this and try to convert it into the above numbers you can arrive at this:
2,880,717 = 2,880,000 + 720 - 3 = 2880 (1000) + .5 day - 3 minutes

So starting from 6.27 today evening subtracting 2,880,717 minutes is the same as adding 3 minutes to morning 6.27 1000 days ago. Hence 6.27 + 3 = 6.30 AM is the answer.

Not sure if this is the correct method but this is how I went about it.

Since the answer choices are all within the 6 o'clock hour, you realize that you only need to find the minutes left-over in how many hours are actually in: 2,880,717 minutes.

So: 2,880,717 mins / 60 mins = 4,8011 hours and 57 minutes. Subtract 57 minutes by 27 and you will get, (27 + 60) - 57 or (27-27) = 0 minutes. 30 minutes left to subtract and so you get 60 minutes - 30 = 30...