2442775968 has 216 divisors, whose sum is σ = 7659654912. Its totient is φ = 765656064.

The previous prime is 2442775963. The next prime is 2442776033. The reversal of 2442775968 is 8695772442.

2442775968 is a `hidden beast` number, since 2 + 4 + 42 + 7 + 7 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2442775963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2246721 + ... + 2247807.

Almost surely, 2^2442775968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442775968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829827456).

2442775968 is an abundant number, since it is smaller than the sum of its proper divisors (5216878944).

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

2442775968 is a wasteful number, since it uses less digits than its factorization.

2442775968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1109 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 2442775968 is about 49424.4470682273. The cubic root of 2442775968 is about 1346.7734501258.

The spelling of 2442775968 in words is "two billion, four hundred forty-two million, seven hundred seventy-five thousand, nine hundred sixty-eight".