2072136096 has 36 divisors (see below), whose sum is σ = 5892637842. Its totient is φ = 690711936.

The previous prime is 2072136061. The next prime is 2072136113. The reversal of 2072136096 is 6906312702.

2072136096 is a `hidden beast` number, since 20 + 7 + 21 + 3 + 609 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1553936400 + 518199696 = 39420^2 + 22764^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2072136096² = 8587496000692242432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2072136096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3597171 + ... + 3597746.

Almost surely, 2^2072136096 is an apocalyptic number.

It is an amenable number.

2072136096 is an abundant number, since it is smaller than the sum of its proper divisors (3820501746).

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

2072136096 is a wasteful number, since it uses less digits than its factorization.

2072136096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7194933 (or 7194922 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2072136096 is about 45520.7216111520. The cubic root of 2072136096 is about 1274.8901294021.

Adding to 2072136096 its reverse (6906312702), we get a palindrome (8978448798).

The spelling of 2072136096 in words is "two billion, seventy-two million, one hundred thirty-six thousand, ninety-six".