Infinity is a distinctive girls' name in United States, ranking #2707 in 1998 with 50 recorded births. This places Infinity in the top 16% of ranked US girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 1997 with 71 births ranking #2008. In 1998, approximately 1 in every 35,338 girls born was named Infinity. FALLING Recent data shows the name is currently falling.