2667011688 has 96 divisors (see below), whose sum is σ = 7889132160. Its totient is φ = 807229440.

The previous prime is 2667011657. The next prime is 2667011707. The reversal of 2667011688 is 8861107662.

It is a happy number.

It is a super-2 number, since 2×2667011688² = 14225902687857218688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962481 + ... + 965247.

It is an arithmetic number, because the mean of its divisors is an integer number (82178460).

Almost surely, 2^2667011688 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 2667011688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944566080).

2667011688 is an abundant number, since it is smaller than the sum of its proper divisors (5222120472).

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

2667011688 is a wasteful number, since it uses less digits than its factorization.

2667011688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2667011688 is about 51643.1184960784. The cubic root of 2667011688 is about 1386.7823522300.

The spelling of 2667011688 in words is "two billion, six hundred sixty-seven million, eleven thousand, six hundred eighty-eight".