2182838956032 has 312 divisors, whose sum is σ = 6873400720128. Its totient is φ = 603527086080.

The previous prime is 2182838956013. The next prime is 2182838956033. The reversal of 2182838956032 is 2306598382812.

It is a happy number.

It is a super-3 number, since 3×2182838956032³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2182838956033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82648173 + ... + 82674579.

Almost surely, 2^{2182838956032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2182838956032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436700360064).

2182838956032 is an abundant number, since it is smaller than the sum of its proper divisors (4690561764096).

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

2182838956032 is an equidigital number, since it uses as much as digits as its factorization.

2182838956032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26503 (or 26450 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 2182838956032 in words is "two trillion, one hundred eighty-two billion, eight hundred thirty-eight million, nine hundred fifty-six thousand, thirty-two".