2606233983000 has 256 divisors, whose sum is σ = 8503660938240. Its totient is φ = 663315840000.

The previous prime is 2606233982987. The next prime is 2606233983007. The reversal of 2606233983000 is 3893326062.

2606233983000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2606233983007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31491675 + ... + 31574325.

It is an arithmetic number, because the mean of its divisors is an integer number (33217425540).

Almost surely, 2^{2606233983000} is an apocalyptic number.

2606233983000 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 2606233983000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251830469120).

2606233983000 is an abundant number, since it is smaller than the sum of its proper divisors (5897426955240).

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

2606233983000 is a wasteful number, since it uses less digits than its factorization.

2606233983000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83155 (or 83141 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 2606233983000 in words is "two trillion, six hundred six billion, two hundred thirty-three million, nine hundred eighty-three thousand".