2671959768 has 64 divisors (see below), whose sum is σ = 7094187360. Its totient is φ = 835731456.

The previous prime is 2671959767. The next prime is 2671959779. The reversal of 2671959768 is 8679591762.

It is a super-2 number, since 2×2671959768² = 14278738003621227648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671959767) 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, 127780 + ... + 147212.

Almost surely, 2^2671959768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671959768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547093680).

2671959768 is an abundant number, since it is smaller than the sum of its proper divisors (4422227592).

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

2671959768 is a wasteful number, since it uses less digits than its factorization.

2671959768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19796 (or 19792 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 60.

The square root of 2671959768 is about 51691.0027761118. The cubic root of 2671959768 is about 1387.6394501835.

The spelling of 2671959768 in words is "two billion, six hundred seventy-one million, nine hundred fifty-nine thousand, seven hundred sixty-eight".