To determine if the number \( 2 \cdot -3 \) is rational or irrational, first calculate the expression:
\[ 2 \cdot -3 = -6 \]
The number \(-6\) is an integer, and all integers are considered rational numbers because they can be expressed as a fraction (for example, \(-6\) can be written as \(-6/1\)).
Therefore, \(-6\) is a rational number.