2286216640 has 112 divisors (see below), whose sum is σ = 5530291200. Its totient is φ = 900150272.

The previous prime is 2286216637. The next prime is 2286216641. The reversal of 2286216640 is 466126822.

It is a self number, because there is not a number n which added to its sum of digits gives 2286216640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286216641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9565641 + ... + 9565879.

It is an arithmetic number, because the mean of its divisors is an integer number (49377600).

Almost surely, 2^2286216640 is an apocalyptic number.

2286216640 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 2286216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765145600).

2286216640 is an abundant number, since it is smaller than the sum of its proper divisors (3244074560).

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

2286216640 is a wasteful number, since it uses less digits than its factorization.

2286216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2286216640 is about 47814.3978316155. The cubic root of 2286216640 is about 1317.3640079657.

The spelling of 2286216640 in words is "two billion, two hundred eighty-six million, two hundred sixteen thousand, six hundred forty".