2058835968 has 336 divisors, whose sum is σ = 7089722640. Its totient is φ = 585252864.

The previous prime is 2058835967. The next prime is 2058835973. The reversal of 2058835968 is 8695388502.

2058835968 is a `hidden beast` number, since 2 + 0 + 588 + 3 + 59 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058835967) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10450846 + ... + 10451042.

It is an arithmetic number, because the mean of its divisors is an integer number (21100365).

Almost surely, 2^2058835968 is an apocalyptic number.

2058835968 is a gapful number since it is divisible by the number (28) 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 2058835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544861320).

2058835968 is an abundant number, since it is smaller than the sum of its proper divisors (5030886672).

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

2058835968 is an frugal number, since it uses more digits than its factorization.

2058835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 2058835968 is about 45374.3977150111. The cubic root of 2058835968 is about 1272.1566200882.

The spelling of 2058835968 in words is "two billion, fifty-eight million, eight hundred thirty-five thousand, nine hundred sixty-eight".