2171006761 has 16 divisors (see below), whose sum is σ = 2734623360. Its totient is φ = 1674247680.

The previous prime is 2171006753. The next prime is 2171006771. The reversal of 2171006761 is 1676001712.

2171006761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2171006761 - 2³ = 2171006753 is a prime.

It is a super-2 number, since 2×2171006761² = 9426540712615422242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2171006701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137866 + ... + 152803.

It is an arithmetic number, because the mean of its divisors is an integer number (170913960).

Almost surely, 2^2171006761 is an apocalyptic number.

It is an amenable number.

2171006761 is a deficient number, since it is larger than the sum of its proper divisors (563616599).

2171006761 is a wasteful number, since it uses less digits than its factorization.

2171006761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290784.

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 2171006761 is about 46594.0635811044. The cubic root of 2171006761 is about 1294.8527753602.

The spelling of 2171006761 in words is "two billion, one hundred seventy-one million, six thousand, seven hundred sixty-one".