2282908140 has 144 divisors (see below), whose sum is σ = 7486708320. Its totient is φ = 561116160.

The previous prime is 2282908139. The next prime is 2282908207. The reversal of 2282908140 is 418092822.

2282908140 is a `hidden beast` number, since 228 + 290 + 8 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2282908095 and 2282908104.

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 47 ways as a sum of consecutive naturals, for example, 117520 + ... + 135560.

It is an arithmetic number, because the mean of its divisors is an integer number (51991030).

Almost surely, 2^2282908140 is an apocalyptic number.

2282908140 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 2282908140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743354160).

2282908140 is an abundant number, since it is smaller than the sum of its proper divisors (5203800180).

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

2282908140 is a wasteful number, since it uses less digits than its factorization.

2282908140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18112 (or 18107 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2282908140 is about 47779.7879861349. The cubic root of 2282908140 is about 1316.7282264298.

The spelling of 2282908140 in words is "two billion, two hundred eighty-two million, nine hundred eight thousand, one hundred forty".