2664000044160 has 768 divisors, whose sum is σ = 11197680278400. Its totient is φ = 532487208960.

The previous prime is 2664000044143. The next prime is 2664000044177. The reversal of 2664000044160 is 614400004662.

It is an interprime number because it is at equal distance from previous prime (2664000044143) and next prime (2664000044177).

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 95 ways as a sum of consecutive naturals, for example, 23180440 + ... + 23295080.

Almost surely, 2^{2664000044160} is an apocalyptic number.

2664000044160 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 2664000044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598840139200).

2664000044160 is an abundant number, since it is smaller than the sum of its proper divisors (8533680234240).

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

2664000044160 is a wasteful number, since it uses less digits than its factorization.

2664000044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114709 (or 114690 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 2664000044160 in words is "two trillion, six hundred sixty-four billion, forty-four thousand, one hundred sixty".