import arcpy
# select mxd
mxd = arcpy.mapping.MapDocument(r"E:\path_to_the_mxd_file\export.mxd")
# select data frame.
df = arcpy.mapping.ListDataFrames(mxd)[0]
# calc extent ratio
ar = df.extent.height / df.extent.width
# rooping & export tif, tifw
for pageNum in range(1, mxd.dataDrivenPages.pageCount + 1):
mxd.dataDrivenPages.currentPageID = pageNum
print "Exporting page {0} of {1}".format(str(mxd.dataDrivenPages.currentPageID), str(mxd.dataDrivenPages.pageCount))
arcpy.mapping.ExportToTIFF(mxd,r"C:\path_to_the_output_folder\file_name" + str(pageNum) + ".tif", df, 2048, 2048*ar, 200, True)
## arcpy.mapping.ExportToTIFF ##
ExportToTIFF (map_document, out_tiff, {data_frame}, {df_export_width}, {df_export_height}, {resolution}, {world_file}, {color_mode}, {tiff_compression}, {geoTIFF_tags})
map_document : path to the mxd file
out_tiff : output tiff file name
data_frame : target data frame
df_export_width : pixel size of data frame extent width
df_export_height : pixel size of data frame extent height
resolution :