2444242400 has 72 divisors (see below), whose sum is σ = 5973930144. Its totient is φ = 976563200.

The previous prime is 2444242397. The next prime is 2444242469. The reversal of 2444242400 is 42424442.

It is a self number, because there is not a number n which added to its sum of digits gives 2444242400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1183769 + ... + 1185831.

It is an arithmetic number, because the mean of its divisors is an integer number (82971252).

Almost surely, 2^2444242400 is an apocalyptic number.

2444242400 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 2444242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986965072).

2444242400 is an abundant number, since it is smaller than the sum of its proper divisors (3529687744).

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

2444242400 is a wasteful number, since it uses less digits than its factorization.

2444242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 2444242400 is about 49439.2799300313. The cubic root of 2444242400 is about 1347.0428917562.

Adding to 2444242400 its reverse (42424442), we get a palindrome (2486666842).

The spelling of 2444242400 in words is "two billion, four hundred forty-four million, two hundred forty-two thousand, four hundred".