2424320 has 40 divisors (see below), whose sum is σ = 5818824. Its totient is φ = 968704.

The previous prime is 2424287. The next prime is 2424329. The reversal of 2424320 is 234242.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2087 + ... + 3033.

2^2424320 is an apocalyptic number.

2424320 is a gapful number since it is divisible by the number (20) 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 2424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909412).

2424320 is an abundant number, since it is smaller than the sum of its proper divisors (3394504).

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

2424320 is an frugal number, since it uses more digits than its factorization.

2424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2424320 is about 1557.0228000900. The cubic root of 2424320 is about 134.3373101435.

Adding to 2424320 its reverse (234242), we get a palindrome (2658562).

It can be divided in two parts, 2424 and 320, that added together give a cube (2744 = 14³).

The spelling of 2424320 in words is "two million, four hundred twenty-four thousand, three hundred twenty".