The mode is an octal number, so you need 02750 (note the leading zero).

That won't produce proper permissions.

$ perl -e 'BEGIN{use File::Path qw(make_path)} make_path("foo/bar", { 
+mode => 02750 })' 
$ ls -lh
total 4.0K
drwxr-x--- 3 hena hena 4.0K 2012-04-27 12:14 foo
$ mkdir faa
$ chmod 2750 faa
$ ls -lh
total 8.0K
drwxr-s--- 2 hena hena 4.0K 2012-04-27 12:15 faa
drwxr-x--- 3 hena hena 4.0K 2012-04-27 12:14 foo
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Well, it seems File::Path::make_path uses plain mkdir calls under the hood, which don't honor special bits.¹  I.e., the following wouldn't work either

$ perl -e 'mkdir "foo", 02750'
$ ls -ld foo
drwxr-x--- 2 eliya eliya 4096 Apr 27 11:40 foo/
[download]

while chmod does

$ perl -e 'mkdir "foo", 0750; chmod 02750, "foo"'
$ ls -ld foo
drwxr-s--- 2 eliya eliya 4096 Apr 27 11:41 foo/
[download]

___

¹ This is OS specific; it has nothing to do with Perl.  Perl just passes through the mode value to the mkdir system call (see man 2 mkdir).

The command mkdir -pm2750 foo also has to apply a chmod after having used mkdir:

$ strace mkdir -pm2750 foo
...
mkdir("foo", 02750)                     = 0
open("foo", O_RDONLY|O_NOCTTY|O_NONBLOCK|O_DIRECTORY|O_NOFOLLOW) = 3
fstat(3, {st_mode=S_IFDIR|0750, st_size=4096, ...}) = 0
fchmod(3, 02750)                        = 0    <---
...
[download]