2505552528 has 80 divisors (see below), whose sum is σ = 6706981440. Its totient is φ = 805489152.

The previous prime is 2505552523. The next prime is 2505552593. The reversal of 2505552528 is 8252555052.

It is not an unprimeable number, because it can be changed into a prime (2505552521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141750 + ... + 158442.

It is an arithmetic number, because the mean of its divisors is an integer number (83837268).

Almost surely, 2^2505552528 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 2505552528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353490720).

2505552528 is an abundant number, since it is smaller than the sum of its proper divisors (4201428912).

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

2505552528 is a wasteful number, since it uses less digits than its factorization.

2505552528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16816 (or 16810 counting only the distinct ones).

The product of its (nonzero) digits is 200000, while the sum is 39.

The square root of 2505552528 is about 50055.4944836229. The cubic root of 2505552528 is about 1358.2128573172.

It can be divided in two parts, 250 and 5552528, that added together give a triangular number (5552778 = T₃₃₃₂).

The spelling of 2505552528 in words is "two billion, five hundred five million, five hundred fifty-two thousand, five hundred twenty-eight".