2400620800 has 54 divisors (see below), whose sum is σ = 5941927418. Its totient is φ = 960245760.

The previous prime is 2400620771. The next prime is 2400620819. The reversal of 2400620800 is 80260042.

It can be written as a sum of positive squares in 3 ways, for example, as 383533056 + 2017087744 = 19584^2 + 44912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181149 + ... + 193948.

Almost surely, 2^2400620800 is an apocalyptic number.

2400620800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400620800 is an abundant number, since it is smaller than the sum of its proper divisors (3541306618).

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

2400620800 is an equidigital number, since it uses as much as digits as its factorization.

2400620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375123 (or 375104 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2400620800 is about 48996.1304594557. The cubic root of 2400620800 is about 1338.9813302054.

Adding to 2400620800 its reverse (80260042), we get a palindrome (2480880842).

The spelling of 2400620800 in words is "two billion, four hundred million, six hundred twenty thousand, eight hundred".