The first thing to check is your environment. Perhaps a neighbor has an alarm clock that goes off at the time your clock says 2:38. Perhaps a train whistle or a car starting or some other noise on a regular schedule at 2:38 am.

If this has been continuing for some time, your own wondering about it may be prompting your subconscious to wake you at that time - assuming, perhaps erroneously, that the answer will be determined.

Your cornerstone number is a 2. The cornerstone is the number value of the first letter of your name. You likely live a hustle and bustle kind of life.

Your personality number is a 3. The personality number is obtained by adding the number values of all consonants of a name and reducing the result to a single digit. You tend to be full of life, inspiring, and charming.

Your destiny number is an 8. The destiny number is obtained by adding the number values of all letters of a name and reducing the result to a single digit. You have the potential to achieve great things and likely a talent for efficiency, more so than people generally do with a destiny number other than 8.

Those are the numbers related to the time 2:38 am on the clock you keep seeing.

The number 238 itself resonates with paying attention to detail and building a solid foundation for the future.

Perhaps the above information will help you determine what personal meaning lies in the fact of your seeing the clock at that certain time every day.