2528503680 has 128 divisors (see below), whose sum is σ = 8192109600. Its totient is φ = 663183360.

The previous prime is 2528503667. The next prime is 2528503693. The reversal of 2528503680 is 863058252.

2528503680 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 (2528503667) and next prime (2528503693).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106326 + ... + 127914.

Almost surely, 2^2528503680 is an apocalyptic number.

2528503680 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 2528503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096054800).

2528503680 is an abundant number, since it is smaller than the sum of its proper divisors (5663605920).

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

2528503680 is a wasteful number, since it uses less digits than its factorization.

2528503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21672 (or 21660 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 2528503680 is about 50284.2289391018. The cubic root of 2528503680 is about 1362.3473877828.

The spelling of 2528503680 in words is "two billion, five hundred twenty-eight million, five hundred three thousand, six hundred eighty".