2442144000 has 144 divisors (see below), whose sum is σ = 8111900160. Its totient is φ = 651212800.

The previous prime is 2442143987. The next prime is 2442144007. The reversal of 2442144000 is 4412442.

It is a super-3 number, since 3×2442144000³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2442144007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83281 + ... + 108719.

It is an arithmetic number, because the mean of its divisors is an integer number (56332640).

Almost surely, 2^2442144000 is an apocalyptic number.

2442144000 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 2442144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055950080).

2442144000 is an abundant number, since it is smaller than the sum of its proper divisors (5669756160).

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

2442144000 is an equidigital number, since it uses as much as digits as its factorization.

2442144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25473 (or 25449 counting only the distinct ones).

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

The square root of 2442144000 is about 49418.0533813302. The cubic root of 2442144000 is about 1346.6572993281.

Adding to 2442144000 its reverse (4412442), we get a palindrome (2446556442).

The spelling of 2442144000 in words is "two billion, four hundred forty-two million, one hundred forty-four thousand".