2006527104 has 96 divisors (see below), whose sum is σ = 5783813100. Its totient is φ = 667705344.

The previous prime is 2006527099. The next prime is 2006527121. The reversal of 2006527104 is 4017256002.

2006527104 is a `hidden beast` number, since 2 + 0 + 0 + 652 + 7 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2003457600 + 3069504 = 44760^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930892 + ... + 933044.

Almost surely, 2^2006527104 is an apocalyptic number.

2006527104 is a gapful number since it is divisible by the number (24) 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 2006527104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891906550).

2006527104 is an abundant number, since it is smaller than the sum of its proper divisors (3777285996).

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

2006527104 is a wasteful number, since it uses less digits than its factorization.

2006527104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2006527104 is about 44794.2753485309. The cubic root of 2006527104 is about 1261.2901675318.

The spelling of 2006527104 in words is "two billion, six million, five hundred twenty-seven thousand, one hundred four".