2271886662864 has 480 divisors, whose sum is σ = 7989115330560. Its totient is φ = 549327744000.

The previous prime is 2271886662821. The next prime is 2271886662949. The reversal of 2271886662864 is 4682666881722.

It is a super-2 number, since 2×2271886662864² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2271886662795 and 2271886662804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17946189 + ... + 18072339.

It is an arithmetic number, because the mean of its divisors is an integer number (16643990272).

Almost surely, 2^{2271886662864} is an apocalyptic number.

2271886662864 is a gapful number since it is divisible by the number (24) 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 2271886662864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994557665280).

2271886662864 is an abundant number, since it is smaller than the sum of its proper divisors (5717228667696).

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

2271886662864 is a wasteful number, since it uses less digits than its factorization.

2271886662864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126239 (or 126226 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 66.

The spelling of 2271886662864 in words is "two trillion, two hundred seventy-one billion, eight hundred eighty-six million, six hundred sixty-two thousand, eight hundred sixty-four".