In addition to having anticipated matins (anytime after 2:00 PM, in the 1962 ritual, [after 4:00 PM in the novus ordo]), this is the perfect time (viz. 2:30 AM) to do lauds and prime, just before going to bed, on the rare occasion when doing so after midnight.
Makes for a much more serene morning the next day, i.e. not having to cram in the whole breviary into a Sunday parish schedule, in addition to the daily meditation and rosary, etc. Better spacing of the prayer.
Happy Octave Day of Christmas, Circumcision of Our Blessed Lord, Θεοτόκος, Anno Domini MMXVII!