It's not just the features of the R programming language. It is also free, open source and can be integrated easily with many external tools. For example you can make a paper using Markdown(RMarkdown) and convert it to ->TEX->PDF. Or you can use Rmarkdown to make a presentation converting it to ->TEX->beamer slides. Or just output a html document/webpage. It is also well integrated with online databases and resources.
While it's true that it can be a bit less intuitive or not as visualization focused as compared to some other tools, it is just as powerful under the hood.
Other open source tools like python are good for programming but when it comes to data analysis they can be a little bit cumbersome. For example, python is quite object oriented and for straightforward purposes with low reusability the amount of code needed can be large.
There are other tools like Matlab, Mathematica, SPSS... Matlab is good at visualization and Mathematica has really nice features aimed to improve understanding. However these are closed source and cost a lot of money to you or the university.