2004365160 has 192 divisors, whose sum is σ = 7701782400. Its totient is φ = 442326528.

The previous prime is 2004365159. The next prime is 2004365179. The reversal of 2004365160 is 615634002.

2004365160 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 3 + 651 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59367 + ... + 86793.

It is an arithmetic number, because the mean of its divisors is an integer number (40113450).

Almost surely, 2^2004365160 is an apocalyptic number.

2004365160 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 2004365160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850891200).

2004365160 is an abundant number, since it is smaller than the sum of its proper divisors (5697417240).

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

2004365160 is a wasteful number, since it uses less digits than its factorization.

2004365160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27480 (or 27473 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2004365160 is about 44770.1369218366. The cubic root of 2004365160 is about 1260.8370099940.

Adding to 2004365160 its reverse (615634002), we get a palindrome (2619999162).

The spelling of 2004365160 in words is "two billion, four million, three hundred sixty-five thousand, one hundred sixty".