What are the limitations to eM Client on the free version?

1

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2

Allows of maximum of two account: http://www.emclient.com/pro-vs-free

3

Is there a limitation on the total number of email that it can handle or mailbox size… would like to use to get my 4000 emails off the email server as I am shutting down the current email provider and switching to new provider and need to keep all my emails.

4

No, there are no limitations on number of emails.