2200398297984 has 288 divisors, whose sum is σ = 6704154348840. Its totient is φ = 692629125120.

The previous prime is 2200398297919. The next prime is 2200398297989. The reversal of 2200398297984 is 4897928930022.

2200398297984 is a `hidden beast` number, since 220 + 0 + 39 + 8 + 297 + 98 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200398297989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131823079 + ... + 131839769.

Almost surely, 2^{2200398297984} is an apocalyptic number.

2200398297984 is a gapful number since it is divisible by the number (24) 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 2200398297984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352077174420).

2200398297984 is an abundant number, since it is smaller than the sum of its proper divisors (4503756050856).

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

2200398297984 is a wasteful number, since it uses less digits than its factorization.

2200398297984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17066 (or 17032 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 2200398297984 in words is "two trillion, two hundred billion, three hundred ninety-eight million, two hundred ninety-seven thousand, nine hundred eighty-four".