2664443390112 has 288 divisors, whose sum is σ = 8885664313344. Its totient is φ = 741535603200.

The previous prime is 2664443390003. The next prime is 2664443390117. The reversal of 2664443390112 is 2110933444662.

2664443390112 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 443 + 3 + 90 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2664443390112² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2664443390117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19926037 + ... + 20059307.

It is an arithmetic number, because the mean of its divisors is an integer number (30853001088).

Almost surely, 2^{2664443390112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664443390112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442832156672).

2664443390112 is an abundant number, since it is smaller than the sum of its proper divisors (6221220923232).

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

2664443390112 is a wasteful number, since it uses less digits than its factorization.

2664443390112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133552 (or 133541 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2664443390112 in words is "two trillion, six hundred sixty-four billion, four hundred forty-three million, three hundred ninety thousand, one hundred twelve".