2667361056 has 192 divisors, whose sum is σ = 7576934400. Its totient is φ = 819127296.

The previous prime is 2667361009. The next prime is 2667361111. The reversal of 2667361056 is 6501637662.

It is a super-3 number, since 3×2667361056³ (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 = 2667360999 and 2667361017.

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 31 ways as a sum of consecutive naturals, for example, 15418186 + ... + 15418358.

It is an arithmetic number, because the mean of its divisors is an integer number (39463200).

Almost surely, 2^2667361056 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 2667361056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788467200).

2667361056 is an abundant number, since it is smaller than the sum of its proper divisors (4909573344).

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

2667361056 is a wasteful number, since it uses less digits than its factorization.

2667361056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 2667361056 is about 51646.5009076123. The cubic root of 2667361056 is about 1386.8429039235.

The spelling of 2667361056 in words is "two billion, six hundred sixty-seven million, three hundred sixty-one thousand, fifty-six".