2182126356 has 72 divisors (see below), whose sum is σ = 5723750760. Its totient is φ = 700379136.

The previous prime is 2182126337. The next prime is 2182126369. The reversal of 2182126356 is 6536212812.

2182126356 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 12 + 635 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 184036356 + 1998090000 = 13566^2 + 44700^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2182126356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120760 + ... + 137648.

Almost surely, 2^2182126356 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 2182126356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861875380).

2182126356 is an abundant number, since it is smaller than the sum of its proper divisors (3541624404).

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

2182126356 is a wasteful number, since it uses less digits than its factorization.

2182126356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17033 (or 17028 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2182126356 is about 46713.2353407468. The cubic root of 2182126356 is about 1297.0596971271.

The spelling of 2182126356 in words is "two billion, one hundred eighty-two million, one hundred twenty-six thousand, three hundred fifty-six".