2400320 has 56 divisors (see below), whose sum is σ = 6166104. Its totient is φ = 884736.

The previous prime is 2400311. The next prime is 2400323. The reversal of 2400320 is 230042.

It can be written as a sum of positive squares in 4 ways, for example, as 506944 + 1893376 = 712^2 + 1376^2 .

It is a super-2 number, since 2×2400320² = 11523072204800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3872 + ... + 4448.

It is an arithmetic number, because the mean of its divisors is an integer number (110109).

2^2400320 is an apocalyptic number.

2400320 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 2400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083052).

2400320 is an abundant number, since it is smaller than the sum of its proper divisors (3765784).

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

2400320 is a wasteful number, since it uses less digits than its factorization.

2400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2400320 is about 1549.2966145964. The cubic root of 2400320 is about 133.8925402671.

Adding to 2400320 its reverse (230042), we get a palindrome (2630362).

The spelling of 2400320 in words is "two million, four hundred thousand, three hundred twenty".