2168033238000 has 480 divisors, whose sum is σ = 8658281548800. Its totient is φ = 495303206400.

The previous prime is 2168033237989. The next prime is 2168033238001. The reversal of 2168033238000 is 8323308612.

2168033238000 is a `hidden beast` number, since 216 + 80 + 332 + 38 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168033238001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401559301 + ... + 401564699.

It is an arithmetic number, because the mean of its divisors is an integer number (18038086560).

Almost surely, 2^{2168033238000} is an apocalyptic number.

2168033238000 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 2168033238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329140774400).

2168033238000 is an abundant number, since it is smaller than the sum of its proper divisors (6490248310800).

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

2168033238000 is a wasteful number, since it uses less digits than its factorization.

2168033238000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8622 (or 8603 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2168033238000 in words is "two trillion, one hundred sixty-eight billion, thirty-three million, two hundred thirty-eight thousand".