Can someone explain me what will happen with blockchain size after 2MB blocks? Will it start becoming double as big as it is now, or just double as much transactions will happen at a time? Just wondering what will happen with full nodes in year 2020, because setting up full node today require average machine and a week of downloading, and chain doubles its size each year.
When the block size increases, each block will be able to fit more transactions which means the competition to get your transaction into the block will not be as fierce and you will have have shorter confirmation times with smaller fees.
That's what will happen.
Regarding blockchain size, you can use a torrent to speed that up considerably. At least one use to be able to use a torrent to speed that up considerably.