2268415368 has 60 divisors (see below), whose sum is σ = 6357061095. Its totient is φ = 755734320.

The previous prime is 2268415367. The next prime is 2268415381. The reversal of 2268415368 is 8635148622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2268415368 is a `hidden beast` number, since 226 + 8 + 415 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1134207684 + 1134207684 = 33678^2 + 33678^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33678.

It is not an unprimeable number, because it can be changed into a prime (2268415367) 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 14 ways as a sum of consecutive naturals, for example, 1211473 + ... + 1213343.

Almost surely, 2^2268415368 is an apocalyptic number.

It is an amenable number.

2268415368 is an abundant number, since it is smaller than the sum of its proper divisors (4088645727).

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

2268415368 is an frugal number, since it uses more digits than its factorization.

2268415368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 1876 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2268415368 is about 47627.8843536011. The cubic root of 2268415368 is about 1313.9359448352.

The spelling of 2268415368 in words is "two billion, two hundred sixty-eight million, four hundred fifteen thousand, three hundred sixty-eight".