2282198400 has 288 divisors, whose sum is σ = 8229421200. Its totient is φ = 602173440.

The previous prime is 2282198363. The next prime is 2282198441. The reversal of 2282198400 is 48912822.

2282198400 is a `hidden beast` number, since 228 + 21 + 9 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 3138837 + ... + 3139563.

Almost surely, 2^2282198400 is an apocalyptic number.

2282198400 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 2282198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114710600).

2282198400 is an abundant number, since it is smaller than the sum of its proper divisors (5947222800).

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

2282198400 is a wasteful number, since it uses less digits than its factorization.

2282198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2282198400 is about 47772.3602096442. The cubic root of 2282198400 is about 1316.5917584545.

The spelling of 2282198400 in words is "two billion, two hundred eighty-two million, one hundred ninety-eight thousand, four hundred".