Exclude sidebar content on 404 page only

Sorry, I looked for an answer, but I can’t find what I need.

My 404 page has one line of content on it, so I wanted to eliminate most–but not all–of the content from the sidebar on that page only.

I tried making a second sidebar (sidebar2.php) and referencing to it in the code of the 404.php page (basically, I replaced

<?php get_sidebar(); ?>
with
<?php get_sidebar2(); ?>

As much as that seemed like it’d work, I get an errorreferring to line 2 (the same line where ‘sidebar2.php’ is in the code) and the page won’t load.

Any ideas?