2216567495520 has 144 divisors (see below), whose sum is σ = 8644613271840. Its totient is φ = 506643996672.

The previous prime is 2216567495497. The next prime is 2216567495579. The reversal of 2216567495520 is 255947656122.

2216567495520 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 567 + 4 + 9 + 55 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109938705 + ... + 109958864.

It is an arithmetic number, because the mean of its divisors is an integer number (60032036610).

Almost surely, 2^{2216567495520} is an apocalyptic number.

2216567495520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2216567495520 is an abundant number, since it is smaller than the sum of its proper divisors (6428045776320).

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

2216567495520 is a wasteful number, since it uses less digits than its factorization.

2216567495520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219897597 (or 219897586 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2216567495520 in words is "two trillion, two hundred sixteen billion, five hundred sixty-seven million, four hundred ninety-five thousand, five hundred twenty".