2401344 has 84 divisors (see below), whose sum is σ = 7528560. Its totient is φ = 725760.

The previous prime is 2401339. The next prime is 2401367. The reversal of 2401344 is 4431042.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6147 + ... + 6525.

2^2401344 is an apocalyptic number.

2401344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764280).

2401344 is an abundant number, since it is smaller than the sum of its proper divisors (5127216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2401344 is a wasteful number, since it uses less digits than its factorization.

2401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2401344 is about 1549.6270519064. The cubic root of 2401344 is about 133.9115775162.

Adding to 2401344 its reverse (4431042), we get a palindrome (6832386).

The spelling of 2401344 in words is "two million, four hundred one thousand, three hundred forty-four".