1.6bn mobile devices were sold in 2010

"Worldwide mobile device sales to end users totaled 1.6 billion units in 2010, a 31.8 percent increase from 2009 (see Table 1), according to Gartner, Inc. Smartphone sales to end users were up 72.1 percent from 2009 and accounted for 19 percent of total mobile communications device sales in 2010.
"Strong smartphone sales in the fourth quarter of 2010 pushed Apple and Research In Motion (RIM) up in our 2010 worldwide ranking of mobile device manufacturers to the No. 5 and No. 4 positions, respectively, displacing Sony Ericsson and Motorola," said Carolina Milanesi, research vice president at Gartner. "Nokia and LG saw their market share erode in 2010 as they came under increasing pressure to refine their smartphone strategies.""

Source:  Press release from Gartner, 9th February 2010