2353205000 has 80 divisors (see below), whose sum is σ = 5704033500. Its totient is φ = 908768000.

The previous prime is 2353204969. The next prime is 2353205027. The reversal of 2353205000 is 5023532.

It can be written as a sum of positive squares in 10 ways, for example, as 4251844 + 2348953156 = 2062^2 + 48466^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136886 + ... + 153114.

Almost surely, 2^2353205000 is an apocalyptic number.

2353205000 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 2353205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852016750).

2353205000 is an abundant number, since it is smaller than the sum of its proper divisors (3350828500).

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

2353205000 is a wasteful number, since it uses less digits than its factorization.

2353205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16284 (or 16265 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 2353205000 is about 48509.8443617375. The cubic root of 2353205000 is about 1330.1070258909.

Adding to 2353205000 its reverse (5023532), we get a palindrome (2358228532).

The spelling of 2353205000 in words is "two billion, three hundred fifty-three million, two hundred five thousand".