2005802821 has 8 divisors (see below), whose sum is σ = 2205379584. Its totient is φ = 1809097920.

The previous prime is 2005802797. The next prime is 2005802891. The reversal of 2005802821 is 1282085002.

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

It is a cyclic number.

It is not a de Polignac number, because 2005802821 - 2⁷ = 2005802693 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005802821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005802891) 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, 716500 + ... + 719293.

It is an arithmetic number, because the mean of its divisors is an integer number (275672448).

Almost surely, 2^2005802821 is an apocalyptic number.

It is an amenable number.

2005802821 is a deficient number, since it is larger than the sum of its proper divisors (199576763).

2005802821 is a wasteful number, since it uses less digits than its factorization.

2005802821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435931.

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 2005802821 is about 44786.1900701544. The cubic root of 2005802821 is about 1261.1383893735.

Adding to 2005802821 its reverse (1282085002), we get a palindrome (3287887823).

It can be divided in two parts, 200580 and 2821, that added together give a square (203401 = 451²).

The spelling of 2005802821 in words is "two billion, five million, eight hundred two thousand, eight hundred twenty-one".