2400404420 has 24 divisors (see below), whose sum is σ = 5337370584. Its totient is φ = 903681536.

The previous prime is 2400404417. The next prime is 2400404429. The reversal of 2400404420 is 244040042.

It can be written as a sum of positive squares in 4 ways, for example, as 49900096 + 2350504324 = 7064^2 + 48482^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2400404392 and 2400404401.

It is not an unprimeable number, because it can be changed into a prime (2400404429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3529667 + ... + 3530346.

It is an arithmetic number, because the mean of its divisors is an integer number (222390441).

Almost surely, 2^2400404420 is an apocalyptic number.

2400404420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400404420 is an abundant number, since it is smaller than the sum of its proper divisors (2936966164).

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

2400404420 is a wasteful number, since it uses less digits than its factorization.

2400404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7060039 (or 7060037 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2400404420 is about 48993.9222761354. The cubic root of 2400404420 is about 1338.9410992944.

Adding to 2400404420 its reverse (244040042), we get a palindrome (2644444462).

The spelling of 2400404420 in words is "two billion, four hundred million, four hundred four thousand, four hundred twenty".