2106868320 has 264 divisors, whose sum is σ = 7499653056. Its totient is φ = 559312128.

The previous prime is 2106868307. The next prime is 2106868369. The reversal of 2106868320 is 238686012.

2106868320 is a `hidden beast` number, since 210 + 68 + 68 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 9447729 + ... + 9447951.

Almost surely, 2^2106868320 is an apocalyptic number.

2106868320 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 2106868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749826528).

2106868320 is an abundant number, since it is smaller than the sum of its proper divisors (5392784736).

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

2106868320 is an frugal number, since it uses more digits than its factorization.

2106868320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2106868320 is about 45900.6352897212. The cubic root of 2106868320 is about 1281.9737453076.

The spelling of 2106868320 in words is "two billion, one hundred six million, eight hundred sixty-eight thousand, three hundred twenty".