2192121729 has 24 divisors (see below), whose sum is σ = 3831609600. Its totient is φ = 1178955648.

The previous prime is 2192121677. The next prime is 2192121731. The reversal of 2192121729 is 9271212912.

It is a happy number.

It is not a de Polignac number, because 2192121729 - 2¹⁷ = 2191990657 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2192121693 and 2192121702.

It is not an unprimeable number, because it can be changed into a prime (2192121749) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1022329 + ... + 1024470.

It is an arithmetic number, because the mean of its divisors is an integer number (159650400).

Almost surely, 2^2192121729 is an apocalyptic number.

It is an amenable number.

2192121729 is a deficient number, since it is larger than the sum of its proper divisors (1639487871).

2192121729 is a wasteful number, since it uses less digits than its factorization.

2192121729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046829 (or 2046826 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 2192121729 is about 46820.0996261221. The cubic root of 2192121729 is about 1299.0371033392.

The spelling of 2192121729 in words is "two billion, one hundred ninety-two million, one hundred twenty-one thousand, seven hundred twenty-nine".