2668860564480 has 1584 divisors, whose sum is σ = 10560028227840. Its totient is φ = 622464860160.

The previous prime is 2668860564431. The next prime is 2668860564499. The reversal of 2668860564480 is 844650688662.

It is a happy number.

2668860564480 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 8 + 60 + 564 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 143 ways as a sum of consecutive naturals, for example, 32154946519 + ... + 32154946601.

Almost surely, 2^{2668860564480} is an apocalyptic number.

2668860564480 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 2668860564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280014113920).

2668860564480 is an abundant number, since it is smaller than the sum of its proper divisors (7891167663360).

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

2668860564480 is a wasteful number, since it uses less digits than its factorization.

2668860564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 2668860564480 in words is "two trillion, six hundred sixty-eight billion, eight hundred sixty million, five hundred sixty-four thousand, four hundred eighty".