2120292729 has 12 divisors (see below), whose sum is σ = 3066441300. Its totient is φ = 1411776384.

The previous prime is 2120292703. The next prime is 2120292761. The reversal of 2120292729 is 9272920212.

It can be written as a sum of positive squares in 2 ways, for example, as 1517492025 + 602800704 = 38955^2 + 24552^2 .

It is not a de Polignac number, because 2120292729 - 2¹⁷ = 2120161657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120292693 and 2120292702.

It is not an unprimeable number, because it can be changed into a prime (2120292829) 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 11 ways as a sum of consecutive naturals, for example, 138324 + ... + 152885.

It is an arithmetic number, because the mean of its divisors is an integer number (255536775).

Almost surely, 2^2120292729 is an apocalyptic number.

It is an amenable number.

2120292729 is a deficient number, since it is larger than the sum of its proper divisors (946148571).

2120292729 is a wasteful number, since it uses less digits than its factorization.

2120292729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292024 (or 292021 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2120292729 is about 46046.6364569661. The cubic root of 2120292729 is about 1284.6907821832.

It can be divided in two parts, 2120 and 292729, that added together give a square (294849 = 543²).

The spelling of 2120292729 in words is "two billion, one hundred twenty million, two hundred ninety-two thousand, seven hundred twenty-nine".