2058559213824 has 243 divisors, whose sum is σ = 6034440874917. Its totient is φ = 674914867200.

The previous prime is 2058559213817. The next prime is 2058559213849. The reversal of 2058559213824 is 4283129558502.

The square root of 2058559213824 is 1434768.

It is a perfect power (a square), and thus also a powerful number.

2058559213824 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 559 + 2 + 1 + 3 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9767764224 + 2048791449600 = 98832^2 + 1431360^2 .

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 26 ways as a sum of consecutive naturals, for example, 4889689134 + ... + 4889689554.

Almost surely, 2^{2058559213824} is an apocalyptic number.

2058559213824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2058559213824 is the 1434768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058559213824

2058559213824 is an abundant number, since it is smaller than the sum of its proper divisors (3975881661093).

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

2058559213824 is an frugal number, since it uses more digits than its factorization.

2058559213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 2058559213824 in words is "two trillion, fifty-eight billion, five hundred fifty-nine million, two hundred thirteen thousand, eight hundred twenty-four".