2004281524 has 48 divisors (see below), whose sum is σ = 4153766400. Its totient is φ = 827963136.

The previous prime is 2004281497. The next prime is 2004281537. The reversal of 2004281524 is 4251824002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2004281492 and 2004281501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582112 + ... + 585544.

It is an arithmetic number, because the mean of its divisors is an integer number (86536800).

Almost surely, 2^2004281524 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 2004281524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076883200).

2004281524 is an abundant number, since it is smaller than the sum of its proper divisors (2149484876).

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

2004281524 is a wasteful number, since it uses less digits than its factorization.

2004281524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 2004281524 is about 44769.2028519606. The cubic root of 2004281524 is about 1260.8194727985.

The spelling of 2004281524 in words is "two billion, four million, two hundred eighty-one thousand, five hundred twenty-four".