2205335132 has 192 divisors, whose sum is σ = 5547709440. Its totient is φ = 738201600.

The previous prime is 2205335123. The next prime is 2205335147. The reversal of 2205335132 is 2315335022.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12184082 + ... + 12184262.

It is an arithmetic number, because the mean of its divisors is an integer number (28894320).

Almost surely, 2^2205335132 is an apocalyptic number.

2205335132 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 2205335132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773854720).

2205335132 is an abundant number, since it is smaller than the sum of its proper divisors (3342374308).

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

2205335132 is a wasteful number, since it uses less digits than its factorization.

2205335132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 2205335132 is about 46960.9958582652. The cubic root of 2205335132 is about 1301.6419355738.

The spelling of 2205335132 in words is "two billion, two hundred five million, three hundred thirty-five thousand, one hundred thirty-two".