2431344 has 40 divisors (see below), whose sum is σ = 6455440. Its totient is φ = 788544.

The previous prime is 2431343. The next prime is 2431367. The reversal of 2431344 is 4431342.

2431344 = T₁₀₇ + T₁₀₈ + ... + T₂₅₀.

It is a super-2 number, since 2×2431344² = 11822867292672, which contains 22 as substring.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2431344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65694 + ... + 65730.

It is an arithmetic number, because the mean of its divisors is an integer number (161386).

2^2431344 is an apocalyptic number.

2431344 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 2431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227720).

2431344 is an abundant number, since it is smaller than the sum of its proper divisors (4024096).

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

2431344 is an frugal number, since it uses more digits than its factorization.

2431344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 42 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 2431344 is about 1559.2767554222. The cubic root of 2431344 is about 134.4669238696.

Adding to 2431344 its reverse (4431342), we get a palindrome (6862686).

It can be divided in two parts, 2431 and 344, that added together give a triangular number (2775 = T₇₄).

The spelling of 2431344 in words is "two million, four hundred thirty-one thousand, three hundred forty-four".