2059005312 has 256 divisors, whose sum is σ = 7480435200. Its totient is φ = 542951424.

The previous prime is 2059005293. The next prime is 2059005331. The reversal of 2059005312 is 2135009502.

2059005312 is a `hidden beast` number, since 20 + 590 + 0 + 53 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2059005293) and next prime (2059005331).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 311223 + ... + 317769.

It is an arithmetic number, because the mean of its divisors is an integer number (29220450).

Almost surely, 2^2059005312 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 2059005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740217600).

2059005312 is an abundant number, since it is smaller than the sum of its proper divisors (5421429888).

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

2059005312 is a wasteful number, since it uses less digits than its factorization.

2059005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 2059005312 is about 45376.2637509965. The cubic root of 2059005312 is about 1272.1914984025.

The spelling of 2059005312 in words is "two billion, fifty-nine million, five thousand, three hundred twelve".