2400330720 has 48 divisors (see below), whose sum is σ = 7561043280. Its totient is φ = 640088064.

The previous prime is 2400330683. The next prime is 2400330733. The reversal of 2400330720 is 270330042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2499865 + ... + 2500824.

It is an arithmetic number, because the mean of its divisors is an integer number (157521735).

Almost surely, 2^2400330720 is an apocalyptic number.

2400330720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400330720 is an abundant number, since it is smaller than the sum of its proper divisors (5160712560).

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

2400330720 is a wasteful number, since it uses less digits than its factorization.

2400330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000707 (or 5000699 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 2400330720 is about 48993.1701362547. The cubic root of 2400330720 is about 1338.9273959134.

Adding to 2400330720 its reverse (270330042), we get a palindrome (2670660762).

The spelling of 2400330720 in words is "two billion, four hundred million, three hundred thirty thousand, seven hundred twenty".