2102209200 has 1200 divisors, whose sum is σ = 10002026496. Its totient is φ = 410572800.

The previous prime is 2102209199. The next prime is 2102209201. The reversal of 2102209200 is 29022012.

2102209200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2102209199) and next prime (2102209201).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2102209201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 67813185 + ... + 67813215.

Almost surely, 2^2102209200 is an apocalyptic number.

2102209200 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 2102209200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001013248).

2102209200 is an abundant number, since it is smaller than the sum of its proper divisors (7899817296).

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

2102209200 is a wasteful number, since it uses less digits than its factorization.

2102209200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2102209200 is about 45849.8549616027. The cubic root of 2102209200 is about 1281.0280640375.

The spelling of 2102209200 in words is "two billion, one hundred two million, two hundred nine thousand, two hundred".