2400404420200 has 24 divisors (see below), whose sum is σ = 5580940277430. Its totient is φ = 960161768000.

The previous prime is 2400404420131. The next prime is 2400404420201. The reversal of 2400404420200 is 20244040042.

It can be written as a sum of positive squares in 3 ways, for example, as 2249598017956 + 150806402244 = 1499866^2 + 388338^2 .

It is not an unprimeable number, because it can be changed into a prime (2400404420201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6001010851 + ... + 6001011250.

Almost surely, 2^{2400404420200} is an apocalyptic number.

2400404420200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400404420200 is an abundant number, since it is smaller than the sum of its proper divisors (3180535857230).

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

2400404420200 is a wasteful number, since it uses less digits than its factorization.

2400404420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12002022117 (or 12002022108 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2400404420200 its reverse (20244040042), we get a palindrome (2420648460242).

The spelling of 2400404420200 in words is "two trillion, four hundred billion, four hundred four million, four hundred twenty thousand, two hundred".