2058210000 has 900 divisors, whose sum is σ = 9376823456. Its totient is φ = 427680000.

The previous prime is 2058209981. The next prime is 2058210031. The reversal of 2058210000 is 128502.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 187109995 + ... + 187110005.

Almost surely, 2^2058210000 is an apocalyptic number.

2058210000 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 2058210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688411728).

2058210000 is an abundant number, since it is smaller than the sum of its proper divisors (7318613456).

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

2058210000 is an equidigital number, since it uses as much as digits as its factorization.

2058210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2058210000 is about 45367.4993800628. The cubic root of 2058210000 is about 1272.0276782870.

Adding to 2058210000 its reverse (128502), we get a palindrome (2058338502).

The spelling of 2058210000 in words is "two billion, fifty-eight million, two hundred ten thousand".