2528884800 has 840 divisors, whose sum is σ = 10670844800. Its totient is φ = 582266880.

The previous prime is 2528884741. The next prime is 2528884829. The reversal of 2528884800 is 84888252.

2528884800 is a `hidden beast` number, since 2 + 528 + 88 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32011161 + ... + 32011239.

Almost surely, 2^2528884800 is an apocalyptic number.

2528884800 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 2528884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335422400).

2528884800 is an abundant number, since it is smaller than the sum of its proper divisors (8141960000).

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

2528884800 is a wasteful number, since it uses less digits than its factorization.

2528884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 2528884800 is about 50288.0184537033. The cubic root of 2528884800 is about 1362.4158329738.

The spelling of 2528884800 in words is "two billion, five hundred twenty-eight million, eight hundred eighty-four thousand, eight hundred".