2528825880 has 256 divisors, whose sum is σ = 8982005760. Its totient is φ = 557568000.

The previous prime is 2528825869. The next prime is 2528825891. The reversal of 2528825880 is 885288252.

It is an interprime number because it is at equal distance from previous prime (2528825869) and next prime (2528825891).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3478077 + ... + 3478803.

It is an arithmetic number, because the mean of its divisors is an integer number (35085960).

Almost surely, 2^2528825880 is an apocalyptic number.

2528825880 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 2528825880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491002880).

2528825880 is an abundant number, since it is smaller than the sum of its proper divisors (6453179880).

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

2528825880 is a wasteful number, since it uses less digits than its factorization.

2528825880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 48.

The square root of 2528825880 is about 50287.4326248617. The cubic root of 2528825880 is about 1362.4052520035.

The spelling of 2528825880 in words is "two billion, five hundred twenty-eight million, eight hundred twenty-five thousand, eight hundred eighty".