2083552288 has 72 divisors (see below), whose sum is σ = 4254768000. Its totient is φ = 1004306688.

The previous prime is 2083552243. The next prime is 2083552327. The reversal of 2083552288 is 8822553802.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8717673 + ... + 8717911.

It is an arithmetic number, because the mean of its divisors is an integer number (59094000).

Almost surely, 2^2083552288 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 2083552288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127384000).

2083552288 is an abundant number, since it is smaller than the sum of its proper divisors (2171215712).

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

2083552288 is a wasteful number, since it uses less digits than its factorization.

2083552288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The square root of 2083552288 is about 45645.9449239470. The cubic root of 2083552288 is about 1277.2271289622.

The spelling of 2083552288 in words is "two billion, eighty-three million, five hundred fifty-two thousand, two hundred eighty-eight".