Well, lets see. If you COULD average 100 miles a day that makes it 19 days with no day off. More reasonable is 50 miles a day because you have to factor in fatigue and weather. That makes it 38 days. Take a couple days off and call it a 40 day ride. If you are really good.
If you are an average cyclist it may take you up to 60 days.
Here is why.
If you did make this kind of ride you would need to carry about 50 lbs of gear with you. That style of touring slows your average speed down even if you are an "A" rider. Then you have terrain challenges. Will you be going over any mountains in that 1900 miles? I can't think of any direction (at least in the US) that you won't have foot hills to mountain climbs. That slows your average speed. Then you have weather. An ill timed thunderstorm or tornado may make you duck for cover netting 0 miles. A thunderstorm with high winds AND terrain challenges is a real double whammy. It is possible for a good rider to have one of "those days" that nets 20 miles. This is all assuming that you don't have any mechanical failures. Which you will.
