UHNM said it was "extremely grateful" and the money would support staff and patients "during Covid-19 and beyond".
The trust, which incorporates Royal Stoke Hospital and County Hospital in Stafford, said coronavirus had highlighted it was sometimes "lacking the technology" to work in the "most effective way".
Some money from the donation from the Denise Coates Foundation will invested in technology to improve communications between clinicians, patients and families, UHNM said.
It will also be invested into mental health and social care services in the community, affected by coronavirus, "to support them to support us", it added.
A third portion will be put towards redeveloping the trust's cancer centre "and will have a legacy far beyond Covid-19".
Staff at the trust are "working harder than ever before in extremely challenging circumstances", UHNM's chief executive, Tracy Bullock, said.
The donation will "enhance and improve the care and experience of our patients and their families," she said.
Coates said coronavirus presented "what must be the most demanding circumstances in the hospitals' and, indeed, the NHS's history". She also commented that she was sure the donation "will make a huge difference to the hospital, the staff and more broadly the people of north Staffordshire and the surrounding area."
Source: GMB / BBC News
