2132205072 has 80 divisors (see below), whose sum is σ = 5559554880. Its totient is φ = 704144896.

The previous prime is 2132205067. The next prime is 2132205121. The reversal of 2132205072 is 2705022312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 4188754 + ... + 4189262.

It is an arithmetic number, because the mean of its divisors is an integer number (69494436).

Almost surely, 2^2132205072 is an apocalyptic number.

It is an amenable number.

2132205072 is an abundant number, since it is smaller than the sum of its proper divisors (3427349808).

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

2132205072 is a wasteful number, since it uses less digits than its factorization.

2132205072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2132205072 is about 46175.8061326492. The cubic root of 2132205072 is about 1287.0921968836.

Adding to 2132205072 its reverse (2705022312), we get a palindrome (4837227384).

The spelling of 2132205072 in words is "two billion, one hundred thirty-two million, two hundred five thousand, seventy-two".