2422242400 has 144 divisors (see below), whose sum is σ = 6171636240. Its totient is φ = 927180800.

The previous prime is 2422242397. The next prime is 2422242409. The reversal of 2422242400 is 42422242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422242409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3038802 + ... + 3039598.

It is an arithmetic number, because the mean of its divisors is an integer number (42858585).

Almost surely, 2^2422242400 is an apocalyptic number.

2422242400 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 2422242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085818120).

2422242400 is an abundant number, since it is smaller than the sum of its proper divisors (3749393840).

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

2422242400 is a wasteful number, since it uses less digits than its factorization.

2422242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2422242400 is about 49216.2818587508. The cubic root of 2422242400 is about 1342.9892426471.

Adding to 2422242400 its reverse (42422242), we get a palindrome (2464664642).

The spelling of 2422242400 in words is "two billion, four hundred twenty-two million, two hundred forty-two thousand, four hundred".