2072015829 has 32 divisors (see below), whose sum is σ = 3314626560. Its totient is φ = 1271674944.

The previous prime is 2072015783. The next prime is 2072015831. The reversal of 2072015829 is 9285102702.

2072015829 is a `hidden beast` number, since 2 + 0 + 72 + 0 + 1 + 582 + 9 = 666.

It is not a de Polignac number, because 2072015829 - 2¹⁷ = 2071884757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2072015793 and 2072015802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072015839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126727 + ... + 142139.

It is an arithmetic number, because the mean of its divisors is an integer number (103582080).

Almost surely, 2^2072015829 is an apocalyptic number.

It is an amenable number.

2072015829 is a deficient number, since it is larger than the sum of its proper divisors (1242610731).

2072015829 is a wasteful number, since it uses less digits than its factorization.

2072015829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15818 (or 15812 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2072015829 is about 45519.4005782150. The cubic root of 2072015829 is about 1274.8654640052.

The spelling of 2072015829 in words is "two billion, seventy-two million, fifteen thousand, eight hundred twenty-nine".