2262386112 has 224 divisors, whose sum is σ = 7336852992. Its totient is φ = 600539136.

The previous prime is 2262386111. The next prime is 2262386123. The reversal of 2262386112 is 2116832622.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262386111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1895788 + ... + 1896980.

It is an arithmetic number, because the mean of its divisors is an integer number (32753808).

Almost surely, 2^2262386112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668426496).

2262386112 is an abundant number, since it is smaller than the sum of its proper divisors (5074466880).

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

2262386112 is a wasteful number, since it uses less digits than its factorization.

2262386112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1305 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2262386112 is about 47564.5467969579. The cubic root of 2262386112 is about 1312.7708017737.

The spelling of 2262386112 in words is "two billion, two hundred sixty-two million, three hundred eighty-six thousand, one hundred twelve".