2098224200 has 108 divisors (see below), whose sum is σ = 5064353595. Its totient is φ = 808454400.

The previous prime is 2098224113. The next prime is 2098224203. The reversal of 2098224200 is 24228902.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 13205956 + 2085018244 = 3634^2 + 45662^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=32390.

It is not an unprimeable number, because it can be changed into a prime (2098224203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26559761 + ... + 26559839.

Almost surely, 2^2098224200 is an apocalyptic number.

2098224200 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 2098224200

2098224200 is an abundant number, since it is smaller than the sum of its proper divisors (2966129395).

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

2098224200 is an equidigital number, since it uses as much as digits as its factorization.

2098224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2098224200 is about 45806.3772852645. The cubic root of 2098224200 is about 1280.2181024833.

Multiplying 2098224200 by its product of nonzero digits (4608), we get a square (9668617113600 = 3109440²).

The spelling of 2098224200 in words is "two billion, ninety-eight million, two hundred twenty-four thousand, two hundred".