2441444100 has 72 divisors (see below), whose sum is σ = 7126523040. Its totient is φ = 645281280.

The previous prime is 2441444077. The next prime is 2441444183. The reversal of 2441444100 is 14441442.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 2110 + ... + 69909.

Almost surely, 2^2441444100 is an apocalyptic number.

2441444100 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 2441444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563261520).

2441444100 is an abundant number, since it is smaller than the sum of its proper divisors (4685078940).

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

2441444100 is a wasteful number, since it uses less digits than its factorization.

2441444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72149 (or 72142 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2441444100 is about 49410.9714537166. The cubic root of 2441444100 is about 1346.5286397708.

Adding to 2441444100 its reverse (14441442), we get a palindrome (2455885542).

The spelling of 2441444100 in words is "two billion, four hundred forty-one million, four hundred forty-four thousand, one hundred".