2711117641 has 8 divisors (see below), whose sum is σ = 2735105024. Its totient is φ = 2687171760.

The previous prime is 2711117627. The next prime is 2711117659. The reversal of 2711117641 is 1467111172.

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 2711117641 - 2¹⁷ = 2710986569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2711117671) 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, 129046 + ... + 148576.

It is an arithmetic number, because the mean of its divisors is an integer number (341888128).

Almost surely, 2^2711117641 is an apocalyptic number.

It is an amenable number.

2711117641 is a deficient number, since it is larger than the sum of its proper divisors (23987383).

2711117641 is a wasteful number, since it uses less digits than its factorization.

2711117641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20751.

The product of its digits is 2352, while the sum is 31.

The square root of 2711117641 is about 52068.3938776682. The cubic root of 2711117641 is about 1394.3852742166.

The spelling of 2711117641 in words is "two billion, seven hundred eleven million, one hundred seventeen thousand, six hundred forty-one".