Absorbingly means something that fully occupies one's attention or interest. Synonyms for this word are captivation, engrossment, preoccupation, fascination, immersion, and enthrallment. Captivation refers to the ability of something to attract and hold one's attention. Engrossment suggests that one is completely absorbed in something to the exclusion of all else. Preoccupation implies that one's attention is focused on a particular issue or problem. Fascination refers to an intense interest or attraction towards something. Immersion suggests being fully involved in a particular activity or experience. Enthrallment denotes captivation to the point of losing one's sense of reality. All these words can be used as alternatives for "absorbingly" depending on the context.