2199268059120 has 1440 divisors, whose sum is σ = 9348319169280. Its totient is φ = 475129774080.

The previous prime is 2199268059097. The next prime is 2199268059127. The reversal of 2199268059120 is 219508629912.

2199268059120 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 26 + 8 + 0 + 591 + 20 = 666.

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 (2199268059127) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1174194504 + ... + 1174196376.

It is an arithmetic number, because the mean of its divisors is an integer number (6491888312).

Almost surely, 2^{2199268059120} is an apocalyptic number.

2199268059120 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 2199268059120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674159584640).

2199268059120 is an abundant number, since it is smaller than the sum of its proper divisors (7149051110160).

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

2199268059120 is a wasteful number, since it uses less digits than its factorization.

2199268059120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 2199268059120 in words is "two trillion, one hundred ninety-nine billion, two hundred sixty-eight million, fifty-nine thousand, one hundred twenty".