CC Ādi 14.19

sarva-lokera karibe ihaṅ dhāraṇa, poṣaṇa
‘viśvambhara’ nāma ihāra, — ei ta’ kāraṇa
Word for word: 
sarva-lokera — of all people; karibe — will do; ihaṅ — this child; dhāraṇa — protection; poṣaṇa — maintenance; viśvambhara — the name Viśvambhara; nāma — name; ihāra — His; ei — this; ta’ — certainly; kāraṇa — the reason.
Translation: 
“In the future this child will protect and maintain all the world. For this reason He is to be called Viśvambhara.”
Purport: 

The Caitanya-bhāgavata confirms that Śrī Caitanya Mahāprabhu, by His birth, has made the whole world peaceful, as in the past Nārāyaṇa protected this earth in His incarnation as Varāha. Because of His protecting and maintaining this world in the present Kali-yuga, Lord Caitanya Mahāprabhu is known as Viśvambhara, which refers to one who feeds the entire world. The movement inaugurated by Śrī Caitanya Mahāprabhu when He was present five hundred years ago is again being propagated all over the world, and factually we are seeing its practical results. People are being saved, protected and maintained by this Hare Kṛṣṇa movement. Thousands of followers, especially Western youths, are taking part in this Hare Kṛṣṇa movement, and how safe and happy they feel can be understood from the expressions of gratitude in their hundreds and thousands of letters. The name Viśvambhara is also mentioned in the Atharva-veda-saṁhitā (3.3.16.5): viśvambhara viśvena mā bharasā pāhi svāhā.