2412422400 has 432 divisors, whose sum is σ = 8896305600. Its totient is φ = 572129280.

The previous prime is 2412422347. The next prime is 2412422407. The reversal of 2412422400 is 42242142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412422407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6201406 + ... + 6201794.

It is an arithmetic number, because the mean of its divisors is an integer number (20593300).

Almost surely, 2^2412422400 is an apocalyptic number.

2412422400 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 2412422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448152800).

2412422400 is an abundant number, since it is smaller than the sum of its proper divisors (6483883200).

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

2412422400 is a wasteful number, since it uses less digits than its factorization.

2412422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2412422400 is about 49116.4168074179. The cubic root of 2412422400 is about 1341.1719160492.

Adding to 2412422400 its reverse (42242142), we get a palindrome (2454664542).

The spelling of 2412422400 in words is "two billion, four hundred twelve million, four hundred twenty-two thousand, four hundred".