2289205152 has 240 divisors, whose sum is σ = 7431693192. Its totient is φ = 686776320.

The previous prime is 2289205129. The next prime is 2289205153. The reversal of 2289205152 is 2515029822.

It can be written as a sum of positive squares in 4 ways, for example, as 746600976 + 1542604176 = 27324^2 + 39276^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2289205153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1380708 + ... + 1382364.

Almost surely, 2^2289205152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715846596).

2289205152 is an abundant number, since it is smaller than the sum of its proper divisors (5142488040).

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

2289205152 is a wasteful number, since it uses less digits than its factorization.

2289205152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2289205152 is about 47845.6387981183. The cubic root of 2289205152 is about 1317.9377716058.

The spelling of 2289205152 in words is "two billion, two hundred eighty-nine million, two hundred five thousand, one hundred fifty-two".