2667908880 has 640 divisors, whose sum is σ = 11582592000. Its totient is φ = 560867328.

The previous prime is 2667908879. The next prime is 2667909019. The reversal of 2667908880 is 888097662.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9631302 + ... + 9631578.

It is an arithmetic number, because the mean of its divisors is an integer number (18097800).

Almost surely, 2^2667908880 is an apocalyptic number.

2667908880 is a gapful number since it is divisible by the number (20) 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 2667908880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791296000).

2667908880 is an abundant number, since it is smaller than the sum of its proper divisors (8914683120).

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

2667908880 is a wasteful number, since it uses less digits than its factorization.

2667908880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 2667908880 is about 51651.8042279261. The cubic root of 2667908880 is about 1386.9378409298.

The spelling of 2667908880 in words is "two billion, six hundred sixty-seven million, nine hundred eight thousand, eight hundred eighty".