2606311636992 has 1152 divisors, whose sum is σ = 9251536104720. Its totient is φ = 704202670080.

The previous prime is 2606311636879. The next prime is 2606311637051. The reversal of 2606311636992 is 2996361136062.

2606311636992 is a `hidden beast` number, since 26 + 0 + 63 + 116 + 369 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31401344983 + ... + 31401345065.

Almost surely, 2^{2606311636992} 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 2606311636992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625768052360).

2606311636992 is an abundant number, since it is smaller than the sum of its proper divisors (6645224467728).

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

2606311636992 is an equidigital number, since it uses as much as digits as its factorization.

2606311636992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 2606311636992 in words is "two trillion, six hundred six billion, three hundred eleven million, six hundred thirty-six thousand, nine hundred ninety-two".