2434321344 has 224 divisors, whose sum is σ = 8345505280. Its totient is φ = 608145408.

The previous prime is 2434321343. The next prime is 2434321367. The reversal of 2434321344 is 4431234342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434321343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328302 + ... + 335634.

It is an arithmetic number, because the mean of its divisors is an integer number (37256720).

Almost surely, 2^2434321344 is an apocalyptic number.

2434321344 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 2434321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172752640).

2434321344 is an abundant number, since it is smaller than the sum of its proper divisors (5911183936).

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

2434321344 is a wasteful number, since it uses less digits than its factorization.

2434321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7387 (or 7377 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 2434321344 is about 49338.8421428797. The cubic root of 2434321344 is about 1345.2178940620.

Adding to 2434321344 its reverse (4431234342), we get a palindrome (6865555686).

The spelling of 2434321344 in words is "two billion, four hundred thirty-four million, three hundred twenty-one thousand, three hundred forty-four".