2058005644800 has 360 divisors, whose sum is σ = 7908458297256. Its totient is φ = 470400860160.

The previous prime is 2058005644759. The next prime is 2058005644801. The reversal of 2058005644800 is 84465008502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058005644801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1334724 + ... + 2428476.

Almost surely, 2^{2058005644800} is an apocalyptic number.

2058005644800 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 2058005644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954229148628).

2058005644800 is an abundant number, since it is smaller than the sum of its proper divisors (5850452652456).

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

2058005644800 is a wasteful number, since it uses less digits than its factorization.

2058005644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093798 (or 1093770 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 2058005644800 in words is "two trillion, fifty-eight billion, five million, six hundred forty-four thousand, eight hundred".