2002729 has 8 divisors (see below), whose sum is σ = 2056320. Its totient is φ = 1950000.

The previous prime is 2002723. The next prime is 2002739. The reversal of 2002729 is 9272002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002729 is a prime.

It is a Duffinian number.

2002729 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2002723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7854 + ... + 8104.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

2^2002729 is an apocalyptic number.

It is an amenable number.

2002729 is a deficient number, since it is larger than the sum of its proper divisors (53591).

2002729 is a wasteful number, since it uses less digits than its factorization.

2002729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2002729 is about 1415.1780806669. The cubic root of 2002729 is about 126.0493843539.

Subtracting from 2002729 its product of nonzero digits (504), we obtain a square (2002225 = 1415²).

The spelling of 2002729 in words is "two million, two thousand, seven hundred twenty-nine".