2667067992 has 128 divisors (see below), whose sum is σ = 7523942400. Its totient is φ = 875287296.

The previous prime is 2667067987. The next prime is 2667067993. The reversal of 2667067992 is 2997607662.

It is a happy number.

It is a super-2 number, since 2×2667067992² = 14226503347901824128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667067993) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6963433 + ... + 6963815.

It is an arithmetic number, because the mean of its divisors is an integer number (58780800).

Almost surely, 2^2667067992 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 2667067992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761971200).

2667067992 is an abundant number, since it is smaller than the sum of its proper divisors (4856874408).

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

2667067992 is a wasteful number, since it uses less digits than its factorization.

2667067992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 2667067992 is about 51643.6636190733. The cubic root of 2667067992 is about 1386.7921110729.

The spelling of 2667067992 in words is "two billion, six hundred sixty-seven million, sixty-seven thousand, nine hundred ninety-two".