2106460800 has 144 divisors (see below), whose sum is σ = 7516437630. Its totient is φ = 561715200.

The previous prime is 2106460793. The next prime is 2106460841. The reversal of 2106460800 is 80646012.

2106460800 is a `hidden beast` number, since 2 + 10 + 646 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1868314176 + 238146624 = 43224^2 + 15432^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 7771 + ... + 65370.

Almost surely, 2^2106460800 is an apocalyptic number.

2106460800 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 2106460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758218815).

2106460800 is an abundant number, since it is smaller than the sum of its proper divisors (5409976830).

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

2106460800 is a wasteful number, since it uses less digits than its factorization.

2106460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73171 (or 73151 counting only the distinct ones).

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

The square root of 2106460800 is about 45896.1959207950. The cubic root of 2106460800 is about 1281.8910849245.

The spelling of 2106460800 in words is "two billion, one hundred six million, four hundred sixty thousand, eight hundred".