import re

def is_valid_variable_name(variable_name):
    # Check if the length of the variable name is within the allowed range
    if len(variable_name) > 255:
        return False

    # Define a regex pattern for valid JavaScript variable names
    pattern = r'^[a-zA-Z_$][a-zA-Z0-9_$]*$'

    # Use the regex pattern to match the variable name
    if re.match(pattern, variable_name):
        return True
    else:
        return False