Apple earlier said it wanted about two billion dollars, but the testimony marks the first time the precise total and the factors that went into the calculation have been revealed.
According to CNET, Christopher Vellturo, an economist and principal at consultancy Quantitative Economic Solutions, said he reached the 2.191 billion dollars figure by calculating reasonable royalties and lost sales and profits.
He noted the figure comes from evaluating the scale of the infringement, the time span and the head-to-head rivalry between Apple and Samsung.
He added that the patents were key for making Samsung devices easier to use and more attractive to buyers.
Vellturo said Samsung sold more than 37 million infringing devices.
Apple is arguing that Samsung infringed on five of its patents for the iPhone, its biggest moneymaker, and that Apple is due two billion dollars for that infringement.
Samsung wants about seven million dollars from Apple for infringing two of its software patents, the report added.