2404400424 has 64 divisors (see below), whose sum is σ = 6263101440. Its totient is φ = 768338880.

The previous prime is 2404400407. The next prime is 2404400431. The reversal of 2404400424 is 4240044042.

It is a super-2 number, since 2×2404400424² = 11562282797862759552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2404400394 and 2404400403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64507 + ... + 94709.

It is an arithmetic number, because the mean of its divisors is an integer number (97860960).

Almost surely, 2^2404400424 is an apocalyptic number.

2404400424 is a gapful number since it is divisible by the number (24) 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 2404400424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131550720).

2404400424 is an abundant number, since it is smaller than the sum of its proper divisors (3858701016).

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

2404400424 is a wasteful number, since it uses less digits than its factorization.

2404400424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30350 (or 30346 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2404400424 is about 49034.6859274126. The cubic root of 2404400424 is about 1339.6836752404.

Adding to 2404400424 its reverse (4240044042), we get a palindrome (6644444466).

The spelling of 2404400424 in words is "two billion, four hundred four million, four hundred thousand, four hundred twenty-four".