2226367306880 has 64 divisors (see below), whose sum is σ = 5553818481600. Its totient is φ = 851827485696.

The previous prime is 2226367306879. The next prime is 2226367306921. The reversal of 2226367306880 is 886037636222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2226367306880² (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 75609170 + ... + 75638609.

It is an arithmetic number, because the mean of its divisors is an integer number (86778413775).

Almost surely, 2^{2226367306880} is an apocalyptic number.

2226367306880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226367306880 is an abundant number, since it is smaller than the sum of its proper divisors (3327451174720).

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

2226367306880 is a wasteful number, since it uses less digits than its factorization.

2226367306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151247821 (or 151247809 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 2226367306880 in words is "two trillion, two hundred twenty-six billion, three hundred sixty-seven million, three hundred six thousand, eight hundred eighty".