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Actually, what you are asking is referring to the hardness of the pencil. So both, 0.5mm and 0.7mm are the same hardness as number two pencils. The number of lead, 0.5, is a thinner lead in diameter to the 0.7.
The # is reference to the hardness of lead A number 2 pencil is averagely hard aka HB
A o.7 mechanical pencil will do the job.
The "number 2" designation refers to the "hardness" of the lead. The higher the number, the "harder" The "7mm" designation refers to the "thickness" of the lead. The higher the number, the thicker. They are not the same pencil.
No on a pencil stands for Number. It is a measure of hardness, similar to the HB scale.