Mathematical function (see Section A.3.10). Examples: Round[2.4]; Round[2.6]; Round[-2.4]; Round[-2.6].
Round rounds numbers of the form x.5 toward the nearest even integer.
Round[x] returns an integer when x is any numeric quantity, whether or not it is an explicit number. Example: Round[Pi^2]. For exact numeric quantities, Round internally uses numerical approximations to establish its result. See The Mathematica Book on the web: Section 1.1.3 and Section 3.2.2. See also: IntegerPart, Floor, Ceiling, Chop.