2009197200 has 120 divisors (see below), whose sum is σ = 6716052288. Its totient is φ = 512483840.

The previous prime is 2009197171. The next prime is 2009197217. The reversal of 2009197200 is 27919002.

2009197200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8799 + ... + 63998.

Almost surely, 2^2009197200 is an apocalyptic number.

2009197200 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 2009197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358026144).

2009197200 is an abundant number, since it is smaller than the sum of its proper divisors (4706855088).

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

2009197200 is a wasteful number, since it uses less digits than its factorization.

2009197200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72841 (or 72830 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 2009197200 is about 44824.0694270389. The cubic root of 2009197200 is about 1261.8493880034.

The spelling of 2009197200 in words is "two billion, nine million, one hundred ninety-seven thousand, two hundred".