2182292627328 has 192 divisors, whose sum is σ = 7104392305920. Its totient is φ = 661300692480.

The previous prime is 2182292627321. The next prime is 2182292627399. The reversal of 2182292627328 is 8237262922812.

2182292627328 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 2 + 9 + 2 + 627 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2182292627328² (a number of 25 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 not an unprimeable number, because it can be changed into a prime (2182292627321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2847000 + ... + 3531287.

It is an arithmetic number, because the mean of its divisors is an integer number (37002043260).

Almost surely, 2^{2182292627328} is an apocalyptic number.

It is an amenable number.

2182292627328 is an abundant number, since it is smaller than the sum of its proper divisors (4922099678592).

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

2182292627328 is an equidigital number, since it uses as much as digits as its factorization.

2182292627328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378327 (or 6378303 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 2182292627328 in words is "two trillion, one hundred eighty-two billion, two hundred ninety-two million, six hundred twenty-seven thousand, three hundred twenty-eight".