2667220807680 has 1664 divisors, whose sum is σ = 11294930304000. Its totient is φ = 588597166080.

The previous prime is 2667220807663. The next prime is 2667220807721. The reversal of 2667220807680 is 867080227662.

2667220807680 is a `hidden beast` number, since 266 + 7 + 220 + 80 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×2667220807680² (a number of 26 digits) contains 22 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 7037521731 + ... + 7037522109.

Almost surely, 2^{2667220807680} is an apocalyptic number.

2667220807680 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 2667220807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647465152000).

2667220807680 is an abundant number, since it is smaller than the sum of its proper divisors (8627709496320).

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

2667220807680 is a wasteful number, since it uses less digits than its factorization.

2667220807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 2667220807680 in words is "two trillion, six hundred sixty-seven billion, two hundred twenty million, eight hundred seven thousand, six hundred eighty".