Meera prepared 700 Gulab jamuns for her friends. Each Gulab jamun of radius 2.8 \(cm\). She needs a vessel to carry all the Gulab jamuns. The vessel needs an extra 90 \(cm^2\) space; otherwise, Gulab jamuns will break. Calculate the surface area of the vessel she needs.

The surface area of the vessel \(=\)
[Note: Round off the vessel area to the whole number]