What shouldn't the board of directors of a nonprofit know? If the whole board doesn't know it, who should?

I know that the board should have:
-Articles of Incorporation
-Bylaws
-List of Corporate Members titles, duties, roles and responsibilities
-List of Board Member Qualifications duties, roles and responsibilities
-Membership letter saying they are a board member
-Financial reports of what is in the bank account
-Access to minutes book
-Copies of all organizational policies
-Receipts for personal donations

But Should all of the board members have the:
-Tax ID #
-Dun and Bradstreet# (business credit report info)
-EIN #
-CCR information (government grants and contractor database info)
-Non-Profit Tax Exemption Status #
-The Bank Account Numbers
-Should they know what other board members have donated or just what they (themselves) have donated?

Should the whole board have this information or just the treasurer, Executive Director or Business Manager?

What shouldn't the Board of Directors know?? What information is to much information?

Thanks in advance

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