2145205000 has 80 divisors (see below), whose sum is σ = 5043307500. Its totient is φ = 855168000.

The previous prime is 2145204989. The next prime is 2145205019. The reversal of 2145205000 is 5025412.

It can be written as a sum of positive squares in 10 ways, for example, as 82773604 + 2062431396 = 9098^2 + 45414^2 .

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 2044476 + ... + 2045524.

Almost surely, 2^2145205000 is an apocalyptic number.

2145205000 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 2145205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521653750).

2145205000 is an abundant number, since it is smaller than the sum of its proper divisors (2898102500).

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

2145205000 is a wasteful number, since it uses less digits than its factorization.

2145205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2145205000 is about 46316.3578015370. The cubic root of 2145205000 is about 1289.7026736989.

The spelling of 2145205000 in words is "two billion, one hundred forty-five million, two hundred five thousand".