2671017664 has 28 divisors (see below), whose sum is σ = 6057487504. Its totient is φ = 1144721664.

The previous prime is 2671017649. The next prime is 2671017673. The reversal of 2671017664 is 4667101762.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×2671017664² = 14268670722800033792, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2980599 + ... + 2981494.

Almost surely, 2^2671017664 is an apocalyptic number.

It is an amenable number.

2671017664 is an abundant number, since it is smaller than the sum of its proper divisors (3386469840).

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

2671017664 is an equidigital number, since it uses as much as digits as its factorization.

2671017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962112 (or 5962102 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 2671017664 is about 51681.8891295587. The cubic root of 2671017664 is about 1387.4763421446.

The spelling of 2671017664 in words is "two billion, six hundred seventy-one million, seventeen thousand, six hundred sixty-four".