2442144240 has 120 divisors (see below), whose sum is σ = 8252247120. Its totient is φ = 647212032.

The previous prime is 2442144239. The next prime is 2442144251. The reversal of 2442144240 is 424412442.

2442144240 is a `hidden beast` number, since 24 + 4 + 214 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106956 + ... + 127764.

It is an arithmetic number, because the mean of its divisors is an integer number (68768726).

Almost surely, 2^2442144240 is an apocalyptic number.

2442144240 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 2442144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126123560).

2442144240 is an abundant number, since it is smaller than the sum of its proper divisors (5810102880).

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

2442144240 is a wasteful number, since it uses less digits than its factorization.

2442144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20991 (or 20982 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2442144240 is about 49418.0558095925. The cubic root of 2442144240 is about 1346.6573434421.

Adding to 2442144240 its reverse (424412442), we get a palindrome (2866556682).

The spelling of 2442144240 in words is "two billion, four hundred forty-two million, one hundred forty-four thousand, two hundred forty".