Think of
voltage as electrical
pressure - with all the 2v cells in a row the pressures ad up to give a lot more pressure but only the strength of a single cell. With the cells in parallel it's just like one big cell so they only have one lot of pressure but much more strength.
A good way to think of cells in parallel is to just think of joining the plates of the cell together. If you made the plate twice as big, or made two plates the same size and welded them together, or made two plates the same size and connected them with a wire = the same thing