2281686288 has 160 divisors (see below), whose sum is σ = 7116211200. Its totient is φ = 615403008.

The previous prime is 2281686259. The next prime is 2281686301. The reversal of 2281686288 is 8826861822.

It is a Cunningham number, because it is equal to 47767²-1.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2281686288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2674470 + ... + 2675322.

It is an arithmetic number, because the mean of its divisors is an integer number (44476320).

Almost surely, 2^2281686288 is an apocalyptic number.

2281686288 is a gapful number since it is divisible by the number (28) 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 2281686288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558105600).

2281686288 is an abundant number, since it is smaller than the sum of its proper divisors (4834524912).

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

2281686288 is a wasteful number, since it uses less digits than its factorization.

2281686288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1303 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 51.

The square root of 2281686288 is about 47766.9999895325. Note that the first 4 decimals coincide. The cubic root of 2281686288 is about 1316.4932725856.

It can be divided in two parts, 228 and 1686288, that multiplied together give a square (384473664 = 19608²).

The spelling of 2281686288 in words is "two billion, two hundred eighty-one million, six hundred eighty-six thousand, two hundred eighty-eight".