2106174200 has 144 divisors (see below), whose sum is σ = 5603990280. Its totient is φ = 731658240.

The previous prime is 2106174151. The next prime is 2106174229. The reversal of 2106174200 is 24716012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 749999 + ... + 752801.

Almost surely, 2^2106174200 is an apocalyptic number.

2106174200 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 2106174200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801995140).

2106174200 is an abundant number, since it is smaller than the sum of its proper divisors (3497816080).

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

2106174200 is a wasteful number, since it uses less digits than its factorization.

2106174200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 2106174200 is about 45893.0735514631. The cubic root of 2106174200 is about 1281.8329452796.

The spelling of 2106174200 in words is "two billion, one hundred six million, one hundred seventy-four thousand, two hundred".