2188097255322 has 576 divisors, whose sum is σ = 5921047641600. Its totient is φ = 598564287360.

The previous prime is 2188097255257. The next prime is 2188097255329. The reversal of 2188097255322 is 2235527908812.

2188097255322 is a `hidden beast` number, since 2 + 1 + 8 + 80 + 9 + 7 + 2 + 553 + 2 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2188097255329) 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, 26362617493 + ... + 26362617575.

It is an arithmetic number, because the mean of its divisors is an integer number (10279596600).

Almost surely, 2^{2188097255322} is an apocalyptic number.

2188097255322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2188097255322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960523820800).

2188097255322 is an abundant number, since it is smaller than the sum of its proper divisors (3732950386278).

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

2188097255322 is a wasteful number, since it uses less digits than its factorization.

2188097255322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 2188097255322 in words is "two trillion, one hundred eighty-eight billion, ninety-seven million, two hundred fifty-five thousand, three hundred twenty-two".