2006000052 has 96 divisors (see below), whose sum is σ = 5518098432. Its totient is φ = 555278976.

The previous prime is 2006000047. The next prime is 2006000053. The reversal of 2006000052 is 2500006002.

It is a junction number, because it is equal to n+sod(n) for n = 2005999995 and 2006000040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006000053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456538 + ... + 460910.

It is an arithmetic number, because the mean of its divisors is an integer number (57480192).

Almost surely, 2^2006000052 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 2006000052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759049216).

2006000052 is an abundant number, since it is smaller than the sum of its proper divisors (3512098380).

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

2006000052 is a wasteful number, since it uses less digits than its factorization.

2006000052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2006000052 is about 44788.3919336249. The cubic root of 2006000052 is about 1261.1797240169.

Adding to 2006000052 its reverse (2500006002), we get a palindrome (4506006054).

The spelling of 2006000052 in words is "two billion, six million, fifty-two", and thus it is an aban number, an eban number, and an uban number.