Is it possible that you may be placing too many restrictions on how to go about getting to the point that you want to get to? You want to be able to earn an extra $2k per month by only doing lite work in evenings and on the weekends. You need something that is scalable and flexible, and is web based.
My first thought is that in order to bring in $2k a month in income (not sales), someone or something is going to have to do the hard work to get to that point. If you are either not wanting to be that person, or not able to, then you need to consider other ways the work will get done. I have 2 suggestions for you.
1. Have your money work for you. Unfortunately most of us are not in a position to make this choice, but if you are, then this may be the route that you will need to go. Someone or something is going to have to work hard to earn you $2k a month in income, and cash is a great way to make that happen. If you have it available, consider making private investments in a business or businesses. There are several ways that you can structure private investments that meet the requirements that you have stated.
2. Have employees work for you by considering purchasing an existing business. Purchasing an existing business is a great way to avoid the time, effort and expense of starting a business from the ground level. However, even for this option you have to have money to get started. Plan on spending the time that you will be working in the business to be high level management type stuff. Employees, customer communications, accounts receivables and payables, that type of stuff will be what will demand your time while you are working in the business. So if that is not your thing then beware of purchasing an existing business.
I don`t think that any of us have enough information about you to make good suggestions about what may be an option for you. But whether it is a hot dog stand or an information product sold on the web, turning it into a 2K a month income is going to be tough to do unless it is something that you are passionate about, and even then it is going to difficult.
Let me know if I can be of any assistance!