2192728200 has 192 divisors, whose sum is σ = 7362653760. Its totient is φ = 536632320.

The previous prime is 2192728199. The next prime is 2192728201. The reversal of 2192728200 is 28272912.

It is an interprime number because it is at equal distance from previous prime (2192728199) and next prime (2192728201).

It is not an unprimeable number, because it can be changed into a prime (2192728201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1535887 + ... + 1537313.

It is an arithmetic number, because the mean of its divisors is an integer number (38347155).

Almost surely, 2^2192728200 is an apocalyptic number.

2192728200 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 2192728200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681326880).

2192728200 is an abundant number, since it is smaller than the sum of its proper divisors (5169925560).

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

2192728200 is a wasteful number, since it uses less digits than its factorization.

2192728200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2192728200 is about 46826.5757876871. The cubic root of 2192728200 is about 1299.1568892189.

The spelling of 2192728200 in words is "two billion, one hundred ninety-two million, seven hundred twenty-eight thousand, two hundred".