2005272771 has 8 divisors (see below), whose sum is σ = 2673904464. Its totient is φ = 1336744800.

The previous prime is 2005272767. The next prime is 2005272799. The reversal of 2005272771 is 1772725002.

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

It is not a de Polignac number, because 2005272771 - 2² = 2005272767 is a prime.

It is a super-2 number, since 2×2005272771² = 8042237772228036882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2005272371) 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, 57921 + ... + 85821.

It is an arithmetic number, because the mean of its divisors is an integer number (334238058).

Almost surely, 2^2005272771 is an apocalyptic number.

2005272771 is a deficient number, since it is larger than the sum of its proper divisors (668631693).

2005272771 is a wasteful number, since it uses less digits than its factorization.

2005272771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51861.

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 2005272771 is about 44780.2721184229. The cubic root of 2005272771 is about 1261.0272908335.

Adding to 2005272771 its reverse (1772725002), we get a palindrome (3777997773).

The spelling of 2005272771 in words is "two billion, five million, two hundred seventy-two thousand, seven hundred seventy-one".