2058417792 has 256 divisors, whose sum is σ = 6340320000. Its totient is φ = 656916480.

The previous prime is 2058417791. The next prime is 2058417799. The reversal of 2058417792 is 2977148502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2058417791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10343709 + ... + 10343907.

It is an arithmetic number, because the mean of its divisors is an integer number (24766875).

Almost surely, 2^2058417792 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 2058417792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170160000).

2058417792 is an abundant number, since it is smaller than the sum of its proper divisors (4281902208).

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

2058417792 is a wasteful number, since it uses less digits than its factorization.

2058417792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2058417792 is about 45369.7894198331. The cubic root of 2058417792 is about 1272.0704838123.

The spelling of 2058417792 in words is "two billion, fifty-eight million, four hundred seventeen thousand, seven hundred ninety-two".