2004011520 has 160 divisors (see below), whose sum is σ = 7321995648. Its totient is φ = 458047488.

The previous prime is 2004011519. The next prime is 2004011531. The reversal of 2004011520 is 251104002.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2004011520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35122 + ... + 72398.

Almost surely, 2^2004011520 is an apocalyptic number.

2004011520 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 2004011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660997824).

2004011520 is an abundant number, since it is smaller than the sum of its proper divisors (5317984128).

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

2004011520 is an equidigital number, since it uses as much as digits as its factorization.

2004011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37310 (or 37294 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2004011520 is about 44766.1872399247. The cubic root of 2004011520 is about 1260.7628537417.

Adding to 2004011520 its reverse (251104002), we get a palindrome (2255115522).

The spelling of 2004011520 in words is "two billion, four million, eleven thousand, five hundred twenty".