2182127980032 has 1280 divisors, whose sum is σ = 8762479165440. Its totient is φ = 517769625600.

The previous prime is 2182127980031. The next prime is 2182127980049. The reversal of 2182127980032 is 2300897212812.

It is a self number, because there is not a number n which added to its sum of digits gives 2182127980032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182127980031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1425295107 + ... + 1425296637.

It is an arithmetic number, because the mean of its divisors is an integer number (6845686848).

Almost surely, 2^{2182127980032} is an apocalyptic number.

2182127980032 is a gapful number since it is divisible by the number (22) 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 2182127980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381239582720).

2182127980032 is an abundant number, since it is smaller than the sum of its proper divisors (6580351185408).

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

2182127980032 is a wasteful number, since it uses less digits than its factorization.

2182127980032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2182127980032 in words is "two trillion, one hundred eighty-two billion, one hundred twenty-seven million, nine hundred eighty thousand, thirty-two".