Each email account has a mailbox size (quota), which you set when you create it. All your email together also counts towards your hosting account's disk space.
To check or change an account's mailbox size:
New email is rejected and the sender receives a "mailbox full" message. To make room:
To protect the reputation of our mail servers, your hosting account can send up to 300 emails per hour. If you reach the limit, further emails are rejected until the hourly limit resets.
For newsletters or bulk email, use an email marketing service instead. If you expect to send an unusual volume of legitimate email, tell us in advance and we'll advise. See Why your emails are going to spam.
If this happens, change the account's password straight away, check your devices for malware and open a Technical Support ticket so we can check the account.