Are the units for the magnetic moment correct for this paper?

Can the units of $$frac{e,c}{2pi,f},$$ where $c$ is the speed of light, $e$ is the elementary charge and $f$ is the frequency, be correct for the magnetic moment?

I see that the units of magnetic moment should be $text A text m^2$
but when I look at this solution, it goes

$$frac{text C frac{text m}{text s}}{frac 1 s} = frac{text C}{text s} text m text s = text A text m text s.$$

Am I missing something or is this paper wrong? I am hoping the paper is correct and I am just missing something. Thanks

https://www.researchgate.net/publication/281266794_Magnetic_Moment_of_Photon