2282468198400 has 2304 divisors, whose sum is σ = 9909265766400. Its totient is φ = 509607936000.

The previous prime is 2282468198293. The next prime is 2282468198441. The reversal of 2282468198400 is 48918642822.

2282468198400 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 46 + 8 + 198 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×2282468198400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9470822280 + ... + 9470822520.

It is an arithmetic number, because the mean of its divisors is an integer number (4300896600).

Almost surely, 2^{2282468198400} is an apocalyptic number.

2282468198400 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 2282468198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954632883200).

2282468198400 is an abundant number, since it is smaller than the sum of its proper divisors (7626797568000).

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

2282468198400 is a wasteful number, since it uses less digits than its factorization.

2282468198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 2282468198400 in words is "two trillion, two hundred eighty-two billion, four hundred sixty-eight million, one hundred ninety-eight thousand, four hundred".