2667408736 has 48 divisors (see below), whose sum is σ = 5420973600. Its totient is φ = 1291023360.

The previous prime is 2667408721. The next prime is 2667408743. The reversal of 2667408736 is 6378047662.

It is a self number, because there is not a number n which added to its sum of digits gives 2667408736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229956 + ... + 241276.

It is an arithmetic number, because the mean of its divisors is an integer number (112936950).

Almost surely, 2^2667408736 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 2667408736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710486800).

2667408736 is an abundant number, since it is smaller than the sum of its proper divisors (2753564864).

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

2667408736 is a wasteful number, since it uses less digits than its factorization.

2667408736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11567 (or 11559 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The square root of 2667408736 is about 51646.9625050690. The cubic root of 2667408736 is about 1386.8511673062.

The spelling of 2667408736 in words is "two billion, six hundred sixty-seven million, four hundred eight thousand, seven hundred thirty-six".