HOw Many Monitors Can My Laptop Support?

My laptop is the HP Envy J024ea. Http://www.harveynorman.ie/computing/laptops/hp-envy-touchsmart-laptop-15-j024ea.html

The graphic card is NDivia Geforce GT 740M 2GB.

It has 1 HDMI although the question is can I use a HDMI splitter to plug 2 monitors into one port?

2 monitor, one from HDMI and the other from the normal monitor port.

A "splitter" will give identical images on two monitors. Is that what you want? I don't think so.
Other ways to add monitors:
A USB to HDMI (or VGA or DVI_ external video adapter and its driver, $40 and up to 4 or 6 on a system.
A USB monitor and its driver.
A Matrox Dual (or Triple) Head2Go box from one port to go on two (or three) identical monitors with one image spread across them.
Another computer's monitor, by running ZoneScreen or MaxiVistA (which will also support a Mac and an iPad or iPhone). Connect by wireless or wired network.