The uploaded JP2 file which has very large pixel dimensions opens in another popular freeware software, but only after a very long delay.
JP2 files evidently need a lot of processing to decompress in images in them; when I created a multi-image PDF file using JPEG2000 compression once, stepping throught the pages was noticeably slower than when JPEG compression was used.
I see that there are actually two JPEG2000 plug-ins that can be
downloaded for XnView software, and on testing the XnView Classic 'full' edition opens a small test JP2 file; the free version of the commercial plug-in JPEG 2000 LWF used by XnView software is stated in the plug-ins download page to have a pixel limit of 4096 x 4096 for writing to the format, possibly that limit also unstated applies to opening JP2 files?? No pixel limit is stated for the alternative 'JPEG2000' plug-in.
Note also that many plug-ins [but not necesarily those for JPEG2000] are 32-bit Windows plug-ins, and so can only be used with XnView Classic and the 32-bit versions of XnView MP and XnConvert.
[Edited]