2666961856 has 56 divisors (see below), whose sum is σ = 5706185184. Its totient is φ = 1229429760.

The previous prime is 2666961823. The next prime is 2666961881. The reversal of 2666961856 is 6581696662.

It is a super-3 number, since 3×2666961856³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2666961797 and 2666961806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1016226 + ... + 1018846.

It is an arithmetic number, because the mean of its divisors is an integer number (101896164).

Almost surely, 2^2666961856 is an apocalyptic number.

2666961856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853092592).

2666961856 is an abundant number, since it is smaller than the sum of its proper divisors (3039223328).

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

2666961856 is a wasteful number, since it uses less digits than its factorization.

2666961856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3859 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 55.

The square root of 2666961856 is about 51642.6360287699. The cubic root of 2666961856 is about 1386.7737150264.

The spelling of 2666961856 in words is "two billion, six hundred sixty-six million, nine hundred sixty-one thousand, eight hundred fifty-six".