2665771332960 has 384 divisors, whose sum is σ = 8715201578496. Its totient is φ = 684544573440.

The previous prime is 2665771332937. The next prime is 2665771332971. The reversal of 2665771332960 is 692331775662.

It is a Cunningham number, because it is equal to 1632719²-1.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2665771332960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391848919 + ... + 391855721.

It is an arithmetic number, because the mean of its divisors is an integer number (22695837444).

Almost surely, 2^{2665771332960} is an apocalyptic number.

2665771332960 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 2665771332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357600789248).

2665771332960 is an abundant number, since it is smaller than the sum of its proper divisors (6049430245536).

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

2665771332960 is a wasteful number, since it uses less digits than its factorization.

2665771332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 57.

The spelling of 2665771332960 in words is "two trillion, six hundred sixty-five billion, seven hundred seventy-one million, three hundred thirty-two thousand, nine hundred sixty".