2606810085000 has 960 divisors, whose sum is σ = 9856610375040. Its totient is φ = 622036800000.

The previous prime is 2606810084899. The next prime is 2606810085023. The reversal of 2606810085000 is 5800186062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4252544694 + ... + 4252545306.

It is an arithmetic number, because the mean of its divisors is an integer number (10267302474).

Almost surely, 2^{2606810085000} is an apocalyptic number.

2606810085000 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 2606810085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928305187520).

2606810085000 is an abundant number, since it is smaller than the sum of its proper divisors (7249800290040).

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

2606810085000 is a wasteful number, since it uses less digits than its factorization.

2606810085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2606810085000 in words is "two trillion, six hundred six billion, eight hundred ten million, eighty-five thousand".