2667088368 has 240 divisors, whose sum is σ = 9046801920. Its totient is φ = 716511744.

The previous prime is 2667088339. The next prime is 2667088381. The reversal of 2667088368 is 8638807662.

It is a happy number.

It is a super-2 number, since 2×2667088368² = 14226720725441806848, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3006421 + ... + 3007307.

It is an arithmetic number, because the mean of its divisors is an integer number (37695008).

Almost surely, 2^2667088368 is an apocalyptic number.

2667088368 is a gapful number since it is divisible by the number (28) 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 2667088368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523400960).

2667088368 is an abundant number, since it is smaller than the sum of its proper divisors (6379713552).

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

2667088368 is a wasteful number, since it uses less digits than its factorization.

2667088368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2667088368 is about 51643.8608936241. The cubic root of 2667088368 is about 1386.7956426919.

The spelling of 2667088368 in words is "two billion, six hundred sixty-seven million, eighty-eight thousand, three hundred sixty-eight".