2671261017 has 8 divisors (see below), whose sum is σ = 3771192096. Its totient is φ = 1676085312.

The previous prime is 2671260997. The next prime is 2671261037. The reversal of 2671261017 is 7101621762.

It is an interprime number because it is at equal distance from previous prime (2671260997) and next prime (2671261037).

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

It is not a de Polignac number, because 2671261017 - 2⁶ = 2671260953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2671261037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26188783 + ... + 26188884.

It is an arithmetic number, because the mean of its divisors is an integer number (471399012).

Almost surely, 2^2671261017 is an apocalyptic number.

It is an amenable number.

2671261017 is a deficient number, since it is larger than the sum of its proper divisors (1099931079).

2671261017 is a wasteful number, since it uses less digits than its factorization.

2671261017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52377687.

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 2671261017 is about 51684.2434113144. The cubic root of 2671261017 is about 1387.5184779294.

Adding to 2671261017 its reverse (7101621762), we get a palindrome (9772882779).

The spelling of 2671261017 in words is "two billion, six hundred seventy-one million, two hundred sixty-one thousand, seventeen".