Changed max_allowed_packet and still receiving 'Packet Too Large' error
The first I thought about was what max_allowed_packet actually controls. Here is what I found:

According to the page 99 of "Understanding MySQL Internals" (ISBN 0-596-00957-7), here are paragraphs 1-3 explaining it:


  MySQL network communication code was
  written under the assumption that
  queries are always reasonably short,
  and therefore can be sent to and
  processed by the server in one chunk,
  which is called a packet in MySQL
  terminology. The server allocates the
  memory for a temporary buffer to store
  the packet, and it requests enough to
  fit it entirely. This architecture
  requires a precaution to avoid having
  the server run out of memory---a cap
  on the size of the packet, which this
  option accomplishes.
  
  The code of interest in relation to
  this option is found in
  sql/net_serv.cc. Take a look at my_net_read(), then follow the call to my_real_read() and pay
  particular attention to
  net_realloc().
  
  This variable also limits the length
  of a result of many string functons.
  See sql/field.cc and
  sql/intem_strfunc.cc for details.


Given that definition of max_allowed_packet, I then discovered something else from ServerFault: innodb_log_file_size and innodb_log_buffer_size combined must be larger than ten times your biggest blob object if you have a lot of large ones

Keeping these two things in mind, I would increase innodb_log_file_size in /etc/my.cnf to the max size allowed for it, 2047M. This of course requires the following

service mysql stop
rm -f /var/lib/mysql/ib_logfile*
service mysql start


This will accommodate any big blobs you may have in your data.