2068893090000 has 2000 divisors, whose sum is σ = 8749220103360. Its totient is φ = 470448000000.

The previous prime is 2068893089969. The next prime is 2068893090001. The reversal of 2068893090000 is 903988602.

It is a tau number, because it is divible by the number of its divisors (2000).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068893090001) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 20484089950 + ... + 20484090050.

Almost surely, 2^{2068893090000} is an apocalyptic number.

2068893090000 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 2068893090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374610051680).

2068893090000 is an abundant number, since it is smaller than the sum of its proper divisors (6680327013360).

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

2068893090000 is a wasteful number, since it uses less digits than its factorization.

2068893090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2068893090000 in words is "two trillion, sixty-eight billion, eight hundred ninety-three million, ninety thousand".