Answer
$3.0\ electrons$
Work Step by Step
We know that
$F=K\frac{q^2}{r}$
This can be rearranged as:
$q=\sqrt{\frac{Fr^2}{K}}$
Now $N_e=\frac{q}{e}$
$\implies N_e=\frac{r}{e}\sqrt{\frac{F}{K}}$
We plug in the known values to obtain:
$N_e=\frac{6.2\times 10^{-10}}{1.6\times 10^{-19}}\sqrt{\frac{5.4\times 10^{-9}}{8.99\times 10^9}}$
$N_e=3.0\ electrons$