2442263040 has 480 divisors, whose sum is σ = 10188097920. Its totient is φ = 528187392.

The previous prime is 2442263017. The next prime is 2442263053. The reversal of 2442263040 is 403622442.

2442263040 is a `hidden beast` number, since 2 + 4 + 4 + 22 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 2442262995 and 2442263013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3063922 + ... + 3064718.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

Almost surely, 2^2442263040 is an apocalyptic number.

2442263040 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 2442263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094048960).

2442263040 is an abundant number, since it is smaller than the sum of its proper divisors (7745834880).

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

2442263040 is a wasteful number, since it uses less digits than its factorization.

2442263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2442263040 is about 49419.2577847948. The cubic root of 2442263040 is about 1346.6791794849.

Adding to 2442263040 its reverse (403622442), we get a palindrome (2845885482).

The spelling of 2442263040 in words is "two billion, four hundred forty-two million, two hundred sixty-three thousand, forty".