2282575680 has 896 divisors, whose sum is σ = 10393436160. Its totient is φ = 457850880.

The previous prime is 2282575661. The next prime is 2282575693. The reversal of 2282575680 is 865752822.

2282575680 is a `hidden beast` number, since 2 + 2 + 82 + 5 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31268124 + ... + 31268196.

Almost surely, 2^2282575680 is an apocalyptic number.

2282575680 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 2282575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196718080).

2282575680 is an abundant number, since it is smaller than the sum of its proper divisors (8110860480).

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

2282575680 is a wasteful number, since it uses less digits than its factorization.

2282575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2282575680 is about 47776.3087732822. The cubic root of 2282575680 is about 1316.6643049327.

The spelling of 2282575680 in words is "two billion, two hundred eighty-two million, five hundred seventy-five thousand, six hundred eighty".