2001761271 has 24 divisors (see below), whose sum is σ = 3063471840. Its totient is φ = 1255205376.

The previous prime is 2001761261. The next prime is 2001761273. The reversal of 2001761271 is 1721671002.

It is not a de Polignac number, because 2001761271 - 2⁷ = 2001761143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001761273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316486 + ... + 322748.

It is an arithmetic number, because the mean of its divisors is an integer number (127644660).

Almost surely, 2^2001761271 is an apocalyptic number.

2001761271 is a deficient number, since it is larger than the sum of its proper divisors (1061710569).

2001761271 is a wasteful number, since it uses less digits than its factorization.

2001761271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8375 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 2001761271 is about 44741.0468250353. The cubic root of 2001761271 is about 1260.2907851167.

The spelling of 2001761271 in words is "two billion, one million, seven hundred sixty-one thousand, two hundred seventy-one".