2282398560 has 960 divisors, whose sum is σ = 9835499520. Its totient is φ = 492687360.

The previous prime is 2282398523. The next prime is 2282398577. The reversal of 2282398560 is 658932822.

2282398560 = T₂₀₈ + T₂₀₉ + ... + T₂₃₉₂.

It is a happy number.

2282398560 is a `hidden beast` number, since 2 + 2 + 82 + 3 + 9 + 8 + 560 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73625745 + ... + 73625775.

It is an arithmetic number, because the mean of its divisors is an integer number (10245312).

Almost surely, 2^2282398560 is an apocalyptic number.

2282398560 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 2282398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917749760).

2282398560 is an abundant number, since it is smaller than the sum of its proper divisors (7553100960).

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

2282398560 is a wasteful number, since it uses less digits than its factorization.

2282398560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2282398560 is about 47774.4550989334. The cubic root of 2282398560 is about 1316.6302478488.

The spelling of 2282398560 in words is "two billion, two hundred eighty-two million, three hundred ninety-eight thousand, five hundred sixty".