2004816528 has 640 divisors, whose sum is σ = 7559516160. Its totient is φ = 498769920.

The previous prime is 2004816493. The next prime is 2004816553. The reversal of 2004816528 is 8256184002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2004816492 and 2004816501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24154375 + ... + 24154457.

It is an arithmetic number, because the mean of its divisors is an integer number (11811744).

Almost surely, 2^2004816528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004816528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779758080).

2004816528 is an abundant number, since it is smaller than the sum of its proper divisors (5554699632).

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

2004816528 is a wasteful number, since it uses less digits than its factorization.

2004816528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2004816528 is about 44775.1775875875. The cubic root of 2004816528 is about 1260.9316465698.

The spelling of 2004816528 in words is "two billion, four million, eight hundred sixteen thousand, five hundred twenty-eight".