2529828000 has 288 divisors, whose sum is σ = 10262004480. Its totient is φ = 578188800.

The previous prime is 2529827957. The next prime is 2529828001. The reversal of 2529828000 is 8289252.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2529828001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246981 + ... + 257019.

It is an arithmetic number, because the mean of its divisors is an integer number (35631960).

Almost surely, 2^2529828000 is an apocalyptic number.

2529828000 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 2529828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131002240).

2529828000 is an abundant number, since it is smaller than the sum of its proper divisors (7732176480).

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

2529828000 is a wasteful number, since it uses less digits than its factorization.

2529828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10077 (or 10056 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2529828000 is about 50297.3955588160. The cubic root of 2529828000 is about 1362.5851923276.

The spelling of 2529828000 in words is "two billion, five hundred twenty-nine million, eight hundred twenty-eight thousand".