2058452000 has 144 divisors (see below), whose sum is σ = 5560505496. Its totient is φ = 748352000.

The previous prime is 2058451991. The next prime is 2058452009. The reversal of 2058452000 is 2548502.

It is an interprime number because it is at equal distance from previous prime (2058451991) and next prime (2058452009).

It can be written as a sum of positive squares in 4 ways, for example, as 233111824 + 1825340176 = 15268^2 + 42724^2 .

It is not an unprimeable number, because it can be changed into a prime (2058452009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481874 + ... + 486126.

Almost surely, 2^2058452000 is an apocalyptic number.

2058452000 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 2058452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780252748).

2058452000 is an abundant number, since it is smaller than the sum of its proper divisors (3502053496).

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

2058452000 is a wasteful number, since it uses less digits than its factorization.

2058452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 2058452000 is about 45370.1664092165. The cubic root of 2058452000 is about 1272.0775304456.

The spelling of 2058452000 in words is "two billion, fifty-eight million, four hundred fifty-two thousand".