2267851768 has 96 divisors (see below), whose sum is σ = 5338922400. Its totient is φ = 879450624.

The previous prime is 2267851739. The next prime is 2267851769. The reversal of 2267851768 is 8671587622.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267851769) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2044398 + ... + 2045506.

It is an arithmetic number, because the mean of its divisors is an integer number (55613775).

Almost surely, 2^2267851768 is an apocalyptic number.

2267851768 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 2267851768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669461200).

2267851768 is an abundant number, since it is smaller than the sum of its proper divisors (3071070632).

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

2267851768 is a wasteful number, since it uses less digits than its factorization.

2267851768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1184 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

The square root of 2267851768 is about 47621.9672840172. The cubic root of 2267851768 is about 1313.8271176707.

The spelling of 2267851768 in words is "two billion, two hundred sixty-seven million, eight hundred fifty-one thousand, seven hundred sixty-eight".