2528135568 has 120 divisors (see below), whose sum is σ = 8104981248. Its totient is φ = 720631296.

The previous prime is 2528135567. The next prime is 2528135579. The reversal of 2528135568 is 8655318252.

2528135568 is a `hidden beast` number, since 2 + 5 + 2 + 81 + 3 + 5 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (2528135567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463996 + ... + 469412.

Almost surely, 2^2528135568 is an apocalyptic number.

2528135568 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 2528135568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052490624).

2528135568 is an abundant number, since it is smaller than the sum of its proper divisors (5576845680).

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

2528135568 is a wasteful number, since it uses less digits than its factorization.

2528135568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5901 (or 5892 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 2528135568 is about 50280.5684932062. The cubic root of 2528135568 is about 1362.2812721635.

The spelling of 2528135568 in words is "two billion, five hundred twenty-eight million, one hundred thirty-five thousand, five hundred sixty-eight".