2646866496000 has 640 divisors, whose sum is σ = 9339345100800. Its totient is φ = 663634329600.

The previous prime is 2646866495929. The next prime is 2646866496011. The reversal of 2646866496000 is 6946686462.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260538921 + ... + 260549079.

It is an arithmetic number, because the mean of its divisors is an integer number (14592726720).

Almost surely, 2^{2646866496000} is an apocalyptic number.

2646866496000 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 2646866496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669672550400).

2646866496000 is an abundant number, since it is smaller than the sum of its proper divisors (6692478604800).

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

2646866496000 is a wasteful number, since it uses less digits than its factorization.

2646866496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10277 (or 10251 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 57.

The spelling of 2646866496000 in words is "two trillion, six hundred forty-six billion, eight hundred sixty-six million, four hundred ninety-six thousand".