Answer
No, it is not pure copper.
Work Step by Step
Mass = 2.49g
Volume = $0.349 cm^{3}$
Density = $\frac{Mass}{Volume} = \frac{2.49g}{0.349cm^{3}} = 7.13 g/cm^{3}$
Density of the penny $\ne$ Density of copper (8.96 $g/cm^{3}$)
Hence, the penny is not pure copper.