2205682164 has 240 divisors, whose sum is σ = 6805814400. Its totient is φ = 609949440.

The previous prime is 2205682139. The next prime is 2205682181. The reversal of 2205682164 is 4612865022.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14803162 + ... + 14803310.

It is an arithmetic number, because the mean of its divisors is an integer number (28357560).

Almost surely, 2^2205682164 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 2205682164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402907200).

2205682164 is an abundant number, since it is smaller than the sum of its proper divisors (4600132236).

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

2205682164 is a wasteful number, since it uses less digits than its factorization.

2205682164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2205682164 is about 46964.6906090097. The cubic root of 2205682164 is about 1301.7102075423.

The spelling of 2205682164 in words is "two billion, two hundred five million, six hundred eighty-two thousand, one hundred sixty-four".