2442581888 has 64 divisors (see below), whose sum is σ = 5004054720. Its totient is φ = 1186897920.

The previous prime is 2442581881. The next prime is 2442581891. The reversal of 2442581888 is 8881852442.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442581881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1641881 + ... + 1643367.

It is an arithmetic number, because the mean of its divisors is an integer number (78188355).

Almost surely, 2^2442581888 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 2442581888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502027360).

2442581888 is an abundant number, since it is smaller than the sum of its proper divisors (2561472832).

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

2442581888 is a wasteful number, since it uses less digits than its factorization.

2442581888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1843 counting only the distinct ones).

The product of its digits is 1310720, while the sum is 50.

The square root of 2442581888 is about 49422.4836284054. The cubic root of 2442581888 is about 1346.7377818646.

The spelling of 2442581888 in words is "two billion, four hundred forty-two million, five hundred eighty-one thousand, eight hundred eighty-eight".