2058338304 has 360 divisors, whose sum is σ = 6870060288. Its totient is φ = 610467840.

The previous prime is 2058338201. The next prime is 2058338323. The reversal of 2058338304 is 4038338502.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43794409 + ... + 43794455.

Almost surely, 2^2058338304 is an apocalyptic number.

2058338304 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 2058338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435030144).

2058338304 is an abundant number, since it is smaller than the sum of its proper divisors (4811721984).

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

2058338304 is an frugal number, since it uses more digits than its factorization.

2058338304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2058338304 is about 45368.9134099551. The cubic root of 2058338304 is about 1272.0541094818.

The spelling of 2058338304 in words is "two billion, fifty-eight million, three hundred thirty-eight thousand, three hundred four".