2106864000 has 256 divisors, whose sum is σ = 7761873600. Its totient is φ = 561715200.

The previous prime is 2106863999. The next prime is 2106864029. The reversal of 2106864000 is 4686012.

2106864000 is a `hidden beast` number, since 2 + 10 + 6 + 8 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 429562 + ... + 434438.

Almost surely, 2^2106864000 is an apocalyptic number.

2106864000 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 2106864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880936800).

2106864000 is an abundant number, since it is smaller than the sum of its proper divisors (5655009600).

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

2106864000 is an equidigital number, since it uses as much as digits as its factorization.

2106864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2106864000 is about 45900.5882315249. The cubic root of 2106864000 is about 1281.9728691051.

The spelling of 2106864000 in words is "two billion, one hundred six million, eight hundred sixty-four thousand".