2168105940 has 720 divisors, whose sum is σ = 9343724544. Its totient is φ = 413683200.

The previous prime is 2168105857. The next prime is 2168105957. The reversal of 2168105940 is 495018612.

2168105940 is a `hidden beast` number, since 2 + 1 + 68 + 1 + 0 + 594 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2168105895 and 2168105904.

It is a congruent number.

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, 11351245 + ... + 11351435.

Almost surely, 2^2168105940 is an apocalyptic number.

2168105940 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 2168105940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671862272).

2168105940 is an abundant number, since it is smaller than the sum of its proper divisors (7175618604).

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

2168105940 is a wasteful number, since it uses less digits than its factorization.

2168105940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2168105940 is about 46562.9245215547. The cubic root of 2168105940 is about 1294.2758064364.

The spelling of 2168105940 in words is "two billion, one hundred sixty-eight million, one hundred five thousand, nine hundred forty".