2198275200 has 576 divisors, whose sum is σ = 8908492320. Its totient is φ = 530841600.

The previous prime is 2198275153. The next prime is 2198275217. The reversal of 2198275200 is 25728912.

2198275200 is a `hidden beast` number, since 21 + 98 + 27 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8553472 + ... + 8553728.

Almost surely, 2^2198275200 is an apocalyptic number.

2198275200 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 2198275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454246160).

2198275200 is an abundant number, since it is smaller than the sum of its proper divisors (6710217120).

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

2198275200 is a wasteful number, since it uses less digits than its factorization.

2198275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2198275200 is about 46885.7675633022. The cubic root of 2198275200 is about 1300.2514700905.

The spelling of 2198275200 in words is "two billion, one hundred ninety-eight million, two hundred seventy-five thousand, two hundred".