2268120276 has 144 divisors (see below), whose sum is σ = 6184563840. Its totient is φ = 699390720.

The previous prime is 2268120223. The next prime is 2268120299. The reversal of 2268120276 is 6720218622.

2268120276 is a `hidden beast` number, since 2 + 268 + 120 + 276 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2268120276.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2742175 + ... + 2743001.

It is an arithmetic number, because the mean of its divisors is an integer number (42948360).

Almost surely, 2^2268120276 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 2268120276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092281920).

2268120276 is an abundant number, since it is smaller than the sum of its proper divisors (3916443564).

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

2268120276 is a wasteful number, since it uses less digits than its factorization.

2268120276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2268120276 is about 47624.7863617256. The cubic root of 2268120276 is about 1313.8789669105.

Adding to 2268120276 its reverse (6720218622), we get a palindrome (8988338898).

The spelling of 2268120276 in words is "two billion, two hundred sixty-eight million, one hundred twenty thousand, two hundred seventy-six".