2529216528 has 160 divisors (see below), whose sum is σ = 7091546112. Its totient is φ = 774681600.

The previous prime is 2529216523. The next prime is 2529216533. The reversal of 2529216528 is 8256129252.

It is an interprime number because it is at equal distance from previous prime (2529216523) and next prime (2529216533).

It is a super-3 number, since 3×2529216528³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2529216528.

It is not an unprimeable number, because it can be changed into a prime (2529216523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3213351 + ... + 3214137.

Almost surely, 2^2529216528 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 2529216528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545773056).

2529216528 is an abundant number, since it is smaller than the sum of its proper divisors (4562329584).

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

2529216528 is a wasteful number, since it uses less digits than its factorization.

2529216528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 927 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 2529216528 is about 50291.3166262328. The cubic root of 2529216528 is about 1362.4754022774.

The spelling of 2529216528 in words is "two billion, five hundred twenty-nine million, two hundred sixteen thousand, five hundred twenty-eight".