2424422400 has 180 divisors, whose sum is σ = 8020575192. Its totient is φ = 646184960.

The previous prime is 2424422393. The next prime is 2424422423. The reversal of 2424422400 is 42244242.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1227814 + ... + 1229786.

Almost surely, 2^2424422400 is an apocalyptic number.

2424422400 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 2424422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010287596).

2424422400 is an abundant number, since it is smaller than the sum of its proper divisors (5596152792).

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

2424422400 is an equidigital number, since it uses as much as digits as its factorization.

2424422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 1983 counting only the distinct ones).

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

The square root of 2424422400 is about 49238.4240202710. The cubic root of 2424422400 is about 1343.3920152571.

Adding to 2424422400 its reverse (42244242), we get a palindrome (2466666642).

The spelling of 2424422400 in words is "two billion, four hundred twenty-four million, four hundred twenty-two thousand, four hundred".