2636442006912 has 2304 divisors, whose sum is σ = 10545974599680. Its totient is φ = 638522818560.

The previous prime is 2636442006899. The next prime is 2636442006953. The reversal of 2636442006912 is 2196002446362.

2636442006912 is a `hidden beast` number, since 2 + 636 + 4 + 4 + 2 + 0 + 0 + 6 + 9 + 1 + 2 = 666.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 71255189358 + ... + 71255189394.

It is an arithmetic number, because the mean of its divisors is an integer number (4577245920).

Almost surely, 2^{2636442006912} 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 2636442006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272987299840).

2636442006912 is an abundant number, since it is smaller than the sum of its proper divisors (7909532592768).

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

2636442006912 is an equidigital number, since it uses as much as digits as its factorization.

2636442006912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

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

The spelling of 2636442006912 in words is "two trillion, six hundred thirty-six billion, four hundred forty-two million, six thousand, nine hundred twelve".