2268643560 has 64 divisors (see below), whose sum is σ = 6826248000. Its totient is φ = 603165696.

The previous prime is 2268643547. The next prime is 2268643561. The reversal of 2268643560 is 653468622.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2268643561) 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 15 ways as a sum of consecutive naturals, for example, 12391 + ... + 68489.

It is an arithmetic number, because the mean of its divisors is an integer number (106660125).

Almost surely, 2^2268643560 is an apocalyptic number.

2268643560 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 2268643560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413124000).

2268643560 is an abundant number, since it is smaller than the sum of its proper divisors (4557604440).

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

2268643560 is a wasteful number, since it uses less digits than its factorization.

2268643560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56450 (or 56446 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 2268643560 is about 47630.2798648087. The cubic root of 2268643560 is about 1313.9800019660.

The spelling of 2268643560 in words is "two billion, two hundred sixty-eight million, six hundred forty-three thousand, five hundred sixty".