It is a tau number, because it is divible by the number of its divisors (240).
It is a self number, because there is not a number n which added to its sum of digits gives 2667167271120.
It is a congruent number.
It is an unprimeable number.
Almost surely, 22667167271120 is an apocalyptic number.
2667167271120 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 2667167271120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649782582368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2667167271120 is a wasteful number, since it uses less digits than its factorization.
2667167271120 is an odious number, because the sum of its binary digits is odd.
The spelling of 2667167271120 in words is "two trillion, six hundred sixty-seven billion, one hundred sixty-seven million, two hundred seventy-one thousand, one hundred twenty".