2809241568 has 384 divisors, whose sum is σ = 10059033600. Its totient is φ = 744505344.

The previous prime is 2809241563. The next prime is 2809241579. The reversal of 2809241568 is 8651429082.

2809241568 is a `hidden beast` number, since 2 + 80 + 9 + 2 + 4 + 1 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2809241563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9150471 + ... + 9150777.

It is an arithmetic number, because the mean of its divisors is an integer number (26195400).

Almost surely, 2^2809241568 is an apocalyptic number.

2809241568 is a gapful number since it is divisible by the number (28) 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 2809241568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029516800).

2809241568 is an abundant number, since it is smaller than the sum of its proper divisors (7249792032).

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

2809241568 is a wasteful number, since it uses less digits than its factorization.

2809241568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2809241568 is about 53002.2788944023. The cubic root of 2809241568 is about 1411.0087123294.

The spelling of 2809241568 in words is "two billion, eight hundred nine million, two hundred forty-one thousand, five hundred sixty-eight".