2.073 is not 一个概率. 2.073 is the odds ratio here. It can be interpreted as the odds of feeling competent for males are 2.073 times as large as the odds for females. Odds=p(success)/p(failure).
Please see the following website for detailed explanations and examples.
http://www.ats.ucla.edu/stat/stata/faq/oratio.htm
"Comparing a college-educated female investor, with average income and investments, to a male investor with the same demographics, the gender difference accounts for an increase of 0.39 in predicted investor competence, from 3.64 to 4.01."
Regarding your second questions, if I understand it correctly, the above value 0.39 was computed from the estimated logit equation which includes the above predictors (for example, college-educated, income, investment, and gender). Since 4.01-3.64 = 0.37, so 0.39 might be a typo (0.37 might be the right answer).