2116909800 has 72 divisors (see below), whose sum is σ = 7109294790. Its totient is φ = 564508800.

The previous prime is 2116909799. The next prime is 2116909807. The reversal of 2116909800 is 89096112.

It can be written as a sum of positive squares in 3 ways, for example, as 1585791684 + 531118116 = 39822^2 + 23046^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2116909807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 586231 + ... + 589830.

Almost surely, 2^2116909800 is an apocalyptic number.

2116909800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116909800 is an abundant number, since it is smaller than the sum of its proper divisors (4992384990).

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

2116909800 is a wasteful number, since it uses less digits than its factorization.

2116909800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176083 (or 1176071 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 2116909800 is about 46009.8880676752. Note that the first 3 decimals coincide. The cubic root of 2116909800 is about 1284.0071767148.

The spelling of 2116909800 in words is "two billion, one hundred sixteen million, nine hundred nine thousand, eight hundred".