2282732352 has 168 divisors, whose sum is σ = 6934200000. Its totient is φ = 715972608.

The previous prime is 2282732281. The next prime is 2282732393. The reversal of 2282732352 is 2532372822.

It is a happy number.

2282732352 is a `hidden beast` number, since 2 + 282 + 7 + 323 + 52 = 666.

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

Its product of digits (80640) is a multiple of the sum of its prime divisors (1440).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1827024 + ... + 1828272.

It is an arithmetic number, because the mean of its divisors is an integer number (41275000).

Almost surely, 2^2282732352 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 2282732352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467100000).

2282732352 is an abundant number, since it is smaller than the sum of its proper divisors (4651467648).

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

2282732352 is a wasteful number, since it uses less digits than its factorization.

2282732352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1440 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 2282732352 is about 47777.9483862587. The cubic root of 2282732352 is about 1316.6944287547.

The spelling of 2282732352 in words is "two billion, two hundred eighty-two million, seven hundred thirty-two thousand, three hundred fifty-two".