2282116672 has 112 divisors (see below), whose sum is σ = 5211787392. Its totient is φ = 981319680.

The previous prime is 2282116667. The next prime is 2282116679. The reversal of 2282116672 is 2766112822.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2282116679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1569898 + ... + 1571350.

It is an arithmetic number, because the mean of its divisors is an integer number (46533816).

Almost surely, 2^2282116672 is an apocalyptic number.

2282116672 is a gapful number since it is divisible by the number (22) 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 2282116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605893696).

2282116672 is an abundant number, since it is smaller than the sum of its proper divisors (2929670720).

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

2282116672 is a wasteful number, since it uses less digits than its factorization.

2282116672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1586 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 2282116672 is about 47771.5048119692. The cubic root of 2282116672 is about 1316.5760420739.

It can be divided in two parts, 22821 and 16672, that added together give a palindrome (39493).

The spelling of 2282116672 in words is "two billion, two hundred eighty-two million, one hundred sixteen thousand, six hundred seventy-two".