2664160576000 has 1920 divisors, whose sum is σ = 9169288128000. Its totient is φ = 768294912000.

The previous prime is 2664160575929. The next prime is 2664160576039. The reversal of 2664160576000 is 6750614662.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 45155263971 + ... + 45155264029.

It is an arithmetic number, because the mean of its divisors is an integer number (4775670900).

Almost surely, 2^{2664160576000} is an apocalyptic number.

2664160576000 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 2664160576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584644064000).

2664160576000 is an abundant number, since it is smaller than the sum of its proper divisors (6505127552000).

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

2664160576000 is an equidigital number, since it uses as much as digits as its factorization.

2664160576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 2664160576000 in words is "two trillion, six hundred sixty-four billion, one hundred sixty million, five hundred seventy-six thousand".