2408095872 has 768 divisors, whose sum is σ = 9556992000. Its totient is φ = 582266880.

The previous prime is 2408095871. The next prime is 2408095897. The reversal of 2408095872 is 2785908042.

It is not an unprimeable number, because it can be changed into a prime (2408095871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77680497 + ... + 77680527.

It is an arithmetic number, because the mean of its divisors is an integer number (12444000).

Almost surely, 2^2408095872 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 2408095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778496000).

2408095872 is an abundant number, since it is smaller than the sum of its proper divisors (7148896128).

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

2408095872 is a wasteful number, since it uses less digits than its factorization.

2408095872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2408095872 is about 49072.3534385707. The cubic root of 2408095872 is about 1340.3696670753.

The spelling of 2408095872 in words is "two billion, four hundred eight million, ninety-five thousand, eight hundred seventy-two".