2199949200 has 480 divisors, whose sum is σ = 8413747200. Its totient is φ = 544320000.

The previous prime is 2199949159. The next prime is 2199949229. The reversal of 2199949200 is 29499912.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14569125 + ... + 14569275.

It is an arithmetic number, because the mean of its divisors is an integer number (17528640).

Almost surely, 2^2199949200 is an apocalyptic number.

2199949200 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 2199949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206873600).

2199949200 is an abundant number, since it is smaller than the sum of its proper divisors (6213798000).

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

2199949200 is a wasteful number, since it uses less digits than its factorization.

2199949200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 2199949200 is about 46903.6160652886. The cubic root of 2199949200 is about 1300.5814361614.

The spelling of 2199949200 in words is "two billion, one hundred ninety-nine million, nine hundred forty-nine thousand, two hundred".