Yes the IRS will notify you after they have sent out your stimulus payment.
The IRS is required to mail a written notice to taxpayers no later than 15 days after distributing an Economic Impact Payment. This notice to the taxpayer will indicate the payment amount, whether the payment was mailed or direct deposited, and a phone number to call if the taxpayer did not receive the payment. The payment should be received before any communication from the IRS is received by mail.
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