2444242000 has 80 divisors (see below), whose sum is σ = 5957332992. Its totient is φ = 969897600.

The previous prime is 2444241971. The next prime is 2444242033. The reversal of 2444242000 is 2424442.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 249189 + ... + 258811.

Almost surely, 2^2444242000 is an apocalyptic number.

2444242000 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 2444242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978666496).

2444242000 is an abundant number, since it is smaller than the sum of its proper divisors (3513090992).

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

2444242000 is a wasteful number, since it uses less digits than its factorization.

2444242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9773 (or 9757 counting only the distinct ones).

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

The square root of 2444242000 is about 49439.2758846648. The cubic root of 2444242000 is about 1347.0428182751.

Adding to 2444242000 its reverse (2424442), we get a palindrome (2446666442).

The spelling of 2444242000 in words is "two billion, four hundred forty-four million, two hundred forty-two thousand".