2896538568 has 288 divisors, whose sum is σ = 9536136480. Its totient is φ = 724953600.

The previous prime is 2896538539. The next prime is 2896538597. The reversal of 2896538568 is 8658356982.

2896538568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2896538539) and next prime (2896538597).

It is a super-2 number, since 2×2896538568² = 16779871351822981248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12431380 + ... + 12431612.

It is an arithmetic number, because the mean of its divisors is an integer number (33111585).

Almost surely, 2^2896538568 is an apocalyptic number.

2896538568 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 2896538568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768068240).

2896538568 is an abundant number, since it is smaller than the sum of its proper divisors (6639597912).

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

2896538568 is a wasteful number, since it uses less digits than its factorization.

2896538568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 287 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 60.

The square root of 2896538568 is about 53819.4998861937. The cubic root of 2896538568 is about 1425.4755475319.

The spelling of 2896538568 in words is "two billion, eight hundred ninety-six million, five hundred thirty-eight thousand, five hundred sixty-eight".