How many ways of writing a date are there?
Are all of the following options correct?

1) I will be at a meeting on January 24 = it would read: I will be at a meeting on January the twenty-fourth

2) I will be at a meeting on the 24th of January = it would read: I will be at a meeting on the twenty-fourth of January

3) I will be at a meeting on 24 January = it would read: I will be at a meeting on twenty-fourth January

Also, is there any other way to write a date in English?

Thanks in advance for your help!

Question

How many ways of writing a date are there?
Are all of the following options correct?

1) I will be at a meeting on January 24 = it would read: I will be at a  meeting on January the twenty-fourth

2) I will be at a meeting on the 24th of January = it would read: I will be at a  meeting on the twenty-fourth of January

3) I will be at a meeting on 24 January = it would read: I will be at a  meeting on twenty-fourth January

Also, is there any other way to write a date in English?

Thanks in advance for your help!

Answer

Your second example is unusual - we don't usually write out the full form 'the 24th of January'.  We say it, but don't tend to write it often. Basically, there are four ways of writing a date, with the number before or after the month, with or without the 'th'

January 24
January 24th
24 January 
24th January

Whether or not it's written,  we always use the ordinal number (first, second and so on, or in this case, 'twenty-fourth')when we say the date.

Speakers of American English favour the 'month first' format, and would typically say 'January twenty-fourth'.

British English users tend to add the 'the', and say 'January the 24th' or - if the date is written first - 'the 24th of January.'

You can choose which ever you like.