2058319019520 has 400 divisors, whose sum is σ = 7402768045200. Its totient is φ = 548871634944.

The previous prime is 2058319019447. The next prime is 2058319019539. The reversal of 2058319019520 is 259109138502.

2058319019520 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 31 + 90 + 1 + 9 + 520 = 666.

It is a super-2 number, since 2×2058319019520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50368056 + ... + 50408904.

It is an arithmetic number, because the mean of its divisors is an integer number (18506920113).

Almost surely, 2^{2058319019520} is an apocalyptic number.

2058319019520 is a gapful number since it is divisible by the number (20) 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 2058319019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701384022600).

2058319019520 is an abundant number, since it is smaller than the sum of its proper divisors (5344449025680).

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

2058319019520 is an frugal number, since it uses more digits than its factorization.

2058319019520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40899 (or 40859 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 2058319019520 in words is "two trillion, fifty-eight billion, three hundred nineteen million, nineteen thousand, five hundred twenty".