2284560252 has 108 divisors (see below), whose sum is σ = 6455502144. Its totient is φ = 680209920.

The previous prime is 2284560217. The next prime is 2284560253. The reversal of 2284560252 is 2520654822.

2284560252 is a `hidden beast` number, since 2 + 2 + 8 + 45 + 602 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284560253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182548 + ... + 194660.

It is an arithmetic number, because the mean of its divisors is an integer number (59773168).

Almost surely, 2^2284560252 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 2284560252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227751072).

2284560252 is an abundant number, since it is smaller than the sum of its proper divisors (4170941892).

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

2284560252 is a wasteful number, since it uses less digits than its factorization.

2284560252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12180 (or 12162 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2284560252 is about 47797.0736761154. The cubic root of 2284560252 is about 1317.0457830747.

The spelling of 2284560252 in words is "two billion, two hundred eighty-four million, five hundred sixty thousand, two hundred fifty-two".