2282506632 has 288 divisors, whose sum is σ = 8018805600. Its totient is φ = 581188608.

The previous prime is 2282506619. The next prime is 2282506661. The reversal of 2282506632 is 2366052822.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1138543 + ... + 1140545.

It is an arithmetic number, because the mean of its divisors is an integer number (27843075).

Almost surely, 2^2282506632 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 2282506632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009402800).

2282506632 is an abundant number, since it is smaller than the sum of its proper divisors (5736298968).

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

2282506632 is a wasteful number, since it uses less digits than its factorization.

2282506632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2282506632 is about 47775.5861502504. The cubic root of 2282506632 is about 1316.6510284172.

The spelling of 2282506632 in words is "two billion, two hundred eighty-two million, five hundred six thousand, six hundred thirty-two".