2004524928 has 512 divisors, whose sum is σ = 7344000000. Its totient is φ = 536481792.

The previous prime is 2004524903. The next prime is 2004524939. The reversal of 2004524928 is 8294254002.

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 = 2004524892 and 2004524901.

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, 22522708 + ... + 22522796.

It is an arithmetic number, because the mean of its divisors is an integer number (14343750).

Almost surely, 2^2004524928 is an apocalyptic number.

2004524928 is a gapful number since it is divisible by the number (28) 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 2004524928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000000).

2004524928 is an abundant number, since it is smaller than the sum of its proper divisors (5339475072).

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

2004524928 is an equidigital number, since it uses as much as digits as its factorization.

2004524928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2004524928 is about 44771.9212006811. The cubic root of 2004524928 is about 1260.8705095544.

The spelling of 2004524928 in words is "two billion, four million, five hundred twenty-four thousand, nine hundred twenty-eight".