2198872800 has 216 divisors, whose sum is σ = 8021908440. Its totient is φ = 566092800.

The previous prime is 2198872787. The next prime is 2198872817. The reversal of 2198872800 is 82788912.

It is a happy number.

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

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, 203535 + ... + 214065.

It is an arithmetic number, because the mean of its divisors is an integer number (37138465).

Almost surely, 2^2198872800 is an apocalyptic number.

2198872800 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 2198872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010954220).

2198872800 is an abundant number, since it is smaller than the sum of its proper divisors (5823035640).

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

2198872800 is a wasteful number, since it uses less digits than its factorization.

2198872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10586 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 2198872800 is about 46892.1400663267. The cubic root of 2198872800 is about 1300.3692836499.

The spelling of 2198872800 in words is "two billion, one hundred ninety-eight million, eight hundred seventy-two thousand, eight hundred".