You will need to call CS to get the PAC for that particular no. Give the PAC to new provider. This will have the effect of cancelling your EE contract but you may be liable to pay early termination fees. Best to do this in last few days of your contract term so you have little or no overlap.
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To phone EE CS: Dial Freephone +44 800 079 8586 - Option 1 for Mobile Phone & Mobile Broadband or Option 2 for Home Broadband & Home Phone
ISPs: 1999: Freeserve 48K Dial-Up => 2005: Wanadoo 1 Meg BB => 2007: Orange 2 Meg BB => 2008: Orange 8 Meg LLU => 2010: Orange 16 Meg LLU => 2011: Orange 20 Meg WBC => 2014: EE 20 Meg WBC => 2020: EE 40 Meg FTTC => 2022: EE 80 Meg FTTC (no landline number)
