2528507520 has 384 divisors, whose sum is σ = 10887626880. Its totient is φ = 525312000.

The previous prime is 2528507519. The next prime is 2528507537. The reversal of 2528507520 is 257058252.

2528507520 is a `hidden beast` number, since 2 + 52 + 85 + 0 + 7 + 520 = 666.

2528507520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440670 + ... + 446370.

It is an arithmetic number, because the mean of its divisors is an integer number (28353195).

Almost surely, 2^2528507520 is an apocalyptic number.

2528507520 is a gapful number since it is divisible by the number (20) 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 2528507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443813440).

2528507520 is an abundant number, since it is smaller than the sum of its proper divisors (8359119360).

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

2528507520 is a wasteful number, since it uses less digits than its factorization.

2528507520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 2528507520 is about 50284.2671220333. The cubic root of 2528507520 is about 1362.3480774412.

The spelling of 2528507520 in words is "two billion, five hundred twenty-eight million, five hundred seven thousand, five hundred twenty".