Calculating molarity.... am I doing it right?

The question is:

If the conc of a L of soln is 2 ppm and the mass wt of chemical compound is 300 g, what is the molarity?

What I’m thinking:

Molarity = mol solute / L solution (by definition)
1 mol of chemical compound = 300 g (by definition)
ppm = mg / L (by definition)

Therefore,

2 ppm = x mg / L; x = 2 mg
mol solute = 2 mg * (mol / 300 * 10^6 mg) = 6.67 * 10^6 mol
Molarity = 6.67 * 10^-6 M

Now this seems like a ridiculously small number for an answer to a homework problem. I’m wondering if I did something wrong, particularly regarding extracting the mg of compound from given ppm solution concentration. Thanks in advance for help!