2667261177216 has 320 divisors, whose sum is σ = 8217343094400. Its totient is φ = 857932922880.

The previous prime is 2667261177197. The next prime is 2667261177221. The reversal of 2667261177216 is 6127711627662.

2667261177216 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 2 + 611 + 7 + 7 + 2 + 16 = 666.

It is a super-2 number, since 2×2667261177216² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113445270 + ... + 113468778.

It is an arithmetic number, because the mean of its divisors is an integer number (25679197170).

Almost surely, 2^{2667261177216} 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 2667261177216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108671547200).

2667261177216 is an abundant number, since it is smaller than the sum of its proper divisors (5550081917184).

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

2667261177216 is a wasteful number, since it uses less digits than its factorization.

2667261177216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23919 (or 23898 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 2667261177216 in words is "two trillion, six hundred sixty-seven billion, two hundred sixty-one million, one hundred seventy-seven thousand, two hundred sixteen".