Accrued Interest Payable, Policy (Details)	12 Months Ended
Dec. 31, 2023
Organization, Consolidation and Presentation of Financial Statements [Abstract]
Number of days within which accrued interest payables are generally paid in cash	30 days

Threshold period for when accounts payable, classified as noncurrent, is considered past due, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

No definition available.

Name:	two_AccountsPayableThresholdPeriodPastDue
Namespace Prefix:	two_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration