2136003066 has 72 divisors (see below), whose sum is σ = 4929324660. Its totient is φ = 668328192.

The previous prime is 2136003053. The next prime is 2136003073. The reversal of 2136003066 is 6603006312.

2136003066 is a `hidden beast` number, since 21 + 3 + 600 + 30 + 6 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2105433225 + 30569841 = 45885^2 + 5529^2 .

It is a super-2 number, since 2×2136003066² = 9125018195922800712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 732820 + ... + 735728.

Almost surely, 2^2136003066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136003066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464662330).

2136003066 is an abundant number, since it is smaller than the sum of its proper divisors (2793321594).

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

2136003066 is a wasteful number, since it uses less digits than its factorization.

2136003066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2136003066 is about 46216.9132028525. The cubic root of 2136003066 is about 1287.8559553204.

Adding to 2136003066 its reverse (6603006312), we get a palindrome (8739009378).

The spelling of 2136003066 in words is "two billion, one hundred thirty-six million, three thousand, sixty-six".