2199287808000 has 960 divisors, whose sum is σ = 8401102295040. Its totient is φ = 567115776000.

The previous prime is 2199287807963. The next prime is 2199287808001. The reversal of 2199287808000 is 8087829912.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199287808001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1714175359 + ... + 1714176641.

It is an arithmetic number, because the mean of its divisors is an integer number (8751148224).

Almost surely, 2^{2199287808000} is an apocalyptic number.

2199287808000 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 2199287808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200551147520).

2199287808000 is an abundant number, since it is smaller than the sum of its proper divisors (6201814487040).

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

2199287808000 is an equidigital number, since it uses as much as digits as its factorization.

2199287808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 2199287808000 in words is "two trillion, one hundred ninety-nine billion, two hundred eighty-seven million, eight hundred eight thousand".