2284523520 has 312 divisors, whose sum is σ = 7789444416. Its totient is φ = 571539456.

The previous prime is 2284523513. The next prime is 2284523531. The reversal of 2284523520 is 253254822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22179789 + ... + 22179891.

It is an arithmetic number, because the mean of its divisors is an integer number (24966168).

Almost surely, 2^2284523520 is an apocalyptic number.

2284523520 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 2284523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894722208).

2284523520 is an abundant number, since it is smaller than the sum of its proper divisors (5504920896).

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

2284523520 is a wasteful number, since it uses less digits than its factorization.

2284523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 2284523520 is about 47796.6894251056. The cubic root of 2284523520 is about 1317.0387243880.

The spelling of 2284523520 in words is "two billion, two hundred eighty-four million, five hundred twenty-three thousand, five hundred twenty".