2168086140 has 144 divisors (see below), whose sum is σ = 7244729856. Its totient is φ = 520444800.

The previous prime is 2168086133. The next prime is 2168086169. The reversal of 2168086140 is 416808612.

2168086140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 2168086095 and 2168086104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198625 + ... + 209255.

It is an arithmetic number, because the mean of its divisors is an integer number (50310624).

Almost surely, 2^2168086140 is an apocalyptic number.

2168086140 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 2168086140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622364928).

2168086140 is an abundant number, since it is smaller than the sum of its proper divisors (5076643716).

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

2168086140 is a wasteful number, since it uses less digits than its factorization.

2168086140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10760 (or 10755 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2168086140 is about 46562.7119055581. The cubic root of 2168086140 is about 1294.2718664784.

The spelling of 2168086140 in words is "two billion, one hundred sixty-eight million, eighty-six thousand, one hundred forty".