2434320 has 240 divisors, whose sum is σ = 10177920. Its totient is φ = 532224.

The previous prime is 2434319. The next prime is 2434339. The reversal of 2434320 is 234342.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 2434293 and 2434302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105829 + ... + 105851.

It is an arithmetic number, because the mean of its divisors is an integer number (42408).

2^2434320 is an apocalyptic number.

2434320 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 2434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

2434320 is an abundant number, since it is smaller than the sum of its proper divisors (7743600).

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

2434320 is a wasteful number, since it uses less digits than its factorization.

2434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2434320 is about 1560.2307521646. The cubic root of 2434320 is about 134.5217646495.

Adding to 2434320 its reverse (234342), we get a palindrome (2668662).

The spelling of 2434320 in words is "two million, four hundred thirty-four thousand, three hundred twenty".