The noun forms of the verb to communicate are communicator, communicant, communication, and the gerund, communicating.
The adjective forms of the verb to communicate are communicative, communicational, the present participle, communicating, and the past participle, communicated.
The adverb form of the verb to communicate is communicably.
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Communicatively and communicationally are other adverbs.
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adjective
Spider is neither an adverb nor an adjective. It's a noun.
noun
noun
Everywhere is an adverb.