2667008988 has 144 divisors (see below), whose sum is σ = 8169068544. Its totient is φ = 717413760.

The previous prime is 2667008987. The next prime is 2667009013. The reversal of 2667008988 is 8898007662.

It is a super-2 number, since 2×2667008988² = 14225873884145568288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667008987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284431 + ... + 293657.

Almost surely, 2^2667008988 is an apocalyptic number.

2667008988 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 2667008988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084534272).

2667008988 is an abundant number, since it is smaller than the sum of its proper divisors (5502059556).

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

2667008988 is a wasteful number, since it uses less digits than its factorization.

2667008988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9312 (or 9307 counting only the distinct ones).

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

The square root of 2667008988 is about 51643.0923551253. The cubic root of 2667008988 is about 1386.7818842513.

The spelling of 2667008988 in words is "two billion, six hundred sixty-seven million, eight thousand, nine hundred eighty-eight".