2004606160200 has 360 divisors, whose sum is σ = 8098998469650. Its totient is φ = 458195512320.

The previous prime is 2004606160187. The next prime is 2004606160211. The reversal of 2004606160200 is 20616064002.

It is a happy number.

2004606160200 is a `hidden beast` number, since 2 + 0 + 0 + 46 + 0 + 616 + 0 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1667646807876 + 336959352324 = 1291374^2 + 580482^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 468865 + ... + 2056464.

Almost surely, 2^{2004606160200} is an apocalyptic number.

2004606160200 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 2004606160200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049499234825).

2004606160200 is an abundant number, since it is smaller than the sum of its proper divisors (6094392309450).

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

2004606160200 is a wasteful number, since it uses less digits than its factorization.

2004606160200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525371 (or 2525346 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 2004606160200 in words is "two trillion, four billion, six hundred six million, one hundred sixty thousand, two hundred".