2271815582364 has 72 divisors (see below), whose sum is σ = 5763180805200. Its totient is φ = 754566918912.

The previous prime is 2271815582341. The next prime is 2271815582369. The reversal of 2271815582364 is 4632855181722.

It is a happy number.

2271815582364 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 8 + 1 + 558 + 23 + 64 = 666.

It is a super-2 number, since 2×2271815582364² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2271815582364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271815582369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17865472 + ... + 17992184.

It is an arithmetic number, because the mean of its divisors is an integer number (80044177850).

Almost surely, 2^{2271815582364} is an apocalyptic number.

It is an amenable number.

2271815582364 is an abundant number, since it is smaller than the sum of its proper divisors (3491365222836).

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

2271815582364 is a wasteful number, since it uses less digits than its factorization.

2271815582364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128499 (or 128494 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 2271815582364 in words is "two trillion, two hundred seventy-one billion, eight hundred fifteen million, five hundred eighty-two thousand, three hundred sixty-four".