2665717894656 has 180 divisors, whose sum is σ = 8119676894472. Its totient is φ = 841805125632.

The previous prime is 2665717894603. The next prime is 2665717894657. The reversal of 2665717894656 is 6564987175662.

2665717894656 is a `hidden beast` number, since 2 + 6 + 6 + 571 + 7 + 8 + 9 + 46 + 5 + 6 = 666.

It is a super-2 number, since 2×2665717894656² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2665717894657) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 862245 + ... + 2464731.

Almost surely, 2^{2665717894656} 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 2665717894656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059838447236).

2665717894656 is an abundant number, since it is smaller than the sum of its proper divisors (5453958999816).

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

2665717894656 is a wasteful number, since it uses less digits than its factorization.

2665717894656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602549 (or 1602511 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 2665717894656 in words is "two trillion, six hundred sixty-five billion, seven hundred seventeen million, eight hundred ninety-four thousand, six hundred fifty-six".