2424004400 has 90 divisors (see below), whose sum is σ = 5904395532. Its totient is φ = 956342400.

The previous prime is 2424004391. The next prime is 2424004409. The reversal of 2424004400 is 44004242.

2424004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2424004391) and next prime (2424004409).

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

It is not an unprimeable number, because it can be changed into a prime (2424004409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2495915 + ... + 2496885.

Almost surely, 2^2424004400 is an apocalyptic number.

2424004400 is a gapful number since it is divisible by the number (20) 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 2424004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952197766).

2424004400 is an abundant number, since it is smaller than the sum of its proper divisors (3480391132).

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

2424004400 is an equidigital number, since it uses as much as digits as its factorization.

2424004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1057 counting only the distinct ones).

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

The square root of 2424004400 is about 49234.1791847899. The cubic root of 2424004400 is about 1343.3148050953.

Adding to 2424004400 its reverse (44004242), we get a palindrome (2468008642).

The spelling of 2424004400 in words is "two billion, four hundred twenty-four million, four thousand, four hundred".