2251205000 has 180 divisors, whose sum is σ = 5894273385. Its totient is φ = 805200000.

The previous prime is 2251204979. The next prime is 2251205039. The reversal of 2251205000 is 5021522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 1354681636 + 896523364 = 36806^2 + 29942^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33550.

It is a self number, because there is not a number n which added to its sum of digits gives 2251205000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36904970 + ... + 36905030.

Almost surely, 2^2251205000 is an apocalyptic number.

2251205000 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 2251205000

2251205000 is an abundant number, since it is smaller than the sum of its proper divisors (3643068385).

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

2251205000 is an equidigital number, since it uses as much as digits as its factorization.

2251205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 2251205000 is about 47446.8650176173. The cubic root of 2251205000 is about 1310.6045807924.

Multiplying 2251205000 by its product of nonzero digits (200), we get a square (450241000000 = 671000²).

2251205000 divided by its product of nonzero digits (200) gives a square (11256025 = 3355²).

Adding to 2251205000 its reverse (5021522), we get a palindrome (2256226522).

The spelling of 2251205000 in words is "two billion, two hundred fifty-one million, two hundred five thousand".