2226712560 has 80 divisors (see below), whose sum is σ = 6910272000. Its totient is φ = 593148160.

The previous prime is 2226712517. The next prime is 2226712601. The reversal of 2226712560 is 652176222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 242941 + ... + 251939.

It is an arithmetic number, because the mean of its divisors is an integer number (86378400).

Almost surely, 2^2226712560 is an apocalyptic number.

2226712560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226712560 is an abundant number, since it is smaller than the sum of its proper divisors (4683559440).

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

2226712560 is a wasteful number, since it uses less digits than its factorization.

2226712560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2226712560 is about 47188.0552682562. The cubic root of 2226712560 is about 1305.8342429365.

Adding to 2226712560 its reverse (652176222), we get a palindrome (2878888782).

The spelling of 2226712560 in words is "two billion, two hundred twenty-six million, seven hundred twelve thousand, five hundred sixty".