2005271072 has 48 divisors (see below), whose sum is σ = 4547450880. Its totient is φ = 852622848.

The previous prime is 2005271041. The next prime is 2005271083. The reversal of 2005271072 is 2701725002.

It is a super-2 number, since 2×2005271072² = 8042224144400058368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6797 + ... + 63692.

It is an arithmetic number, because the mean of its divisors is an integer number (94738560).

Almost surely, 2^2005271072 is an apocalyptic number.

It is an amenable number.

2005271072 is an abundant number, since it is smaller than the sum of its proper divisors (2542179808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005271072 is a wasteful number, since it uses less digits than its factorization.

2005271072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70633 (or 70625 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 2005271072 is about 44780.2531480116. The cubic root of 2005271072 is about 1261.0269346914.

Adding to 2005271072 its reverse (2701725002), we get a palindrome (4706996074).

The spelling of 2005271072 in words is "two billion, five million, two hundred seventy-one thousand, seventy-two".