2182125680 has 160 divisors (see below), whose sum is σ = 6196508160. Its totient is φ = 697973760.

The previous prime is 2182125643. The next prime is 2182125689. The reversal of 2182125680 is 865212812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2182125680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182125689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711350 + ... + 714410.

It is an arithmetic number, because the mean of its divisors is an integer number (38728176).

Almost surely, 2^2182125680 is an apocalyptic number.

2182125680 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 2182125680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098254080).

2182125680 is an abundant number, since it is smaller than the sum of its proper divisors (4014382480).

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

2182125680 is a wasteful number, since it uses less digits than its factorization.

2182125680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 2182125680 is about 46713.2281051096. The cubic root of 2182125680 is about 1297.0595631885.

The spelling of 2182125680 in words is "two billion, one hundred eighty-two million, one hundred twenty-five thousand, six hundred eighty".