2128058064 has 120 divisors (see below), whose sum is σ = 6839071200. Its totient is φ = 610917120.

The previous prime is 2128058059. The next prime is 2128058131. The reversal of 2128058064 is 4608508212.

2128058064 is a `hidden beast` number, since 2 + 12 + 8 + 0 + 580 + 64 = 666.

It is a super-2 number, since 2×2128058064² = 9057262247510856192, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5259 + ... + 65450.

It is an arithmetic number, because the mean of its divisors is an integer number (56992260).

Almost surely, 2^2128058064 is an apocalyptic number.

2128058064 is a gapful number since it is divisible by the number (24) 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 2128058064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419535600).

2128058064 is an abundant number, since it is smaller than the sum of its proper divisors (4711013136).

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

2128058064 is a wasteful number, since it uses less digits than its factorization.

2128058064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70753 (or 70744 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2128058064 is about 46130.8797228061. The cubic root of 2128058064 is about 1286.2572168788.

The spelling of 2128058064 in words is "two billion, one hundred twenty-eight million, fifty-eight thousand, sixty-four".