2271878144 has 88 divisors (see below), whose sum is σ = 4745568288. Its totient is φ = 1086013440.

The previous prime is 2271878137. The next prime is 2271878173. The reversal of 2271878144 is 4418781722.

It is a super-2 number, since 2×2271878144² = 10322860602369769472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2271878095 and 2271878104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2310677 + ... + 2311659.

Almost surely, 2^2271878144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372784144).

2271878144 is an abundant number, since it is smaller than the sum of its proper divisors (2473690144).

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

2271878144 is an equidigital number, since it uses as much as digits as its factorization.

2271878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1083 counting only the distinct ones).

The product of its digits is 200704, while the sum is 44.

The square root of 2271878144 is about 47664.2228930673. Note that the first 3 decimals coincide. The cubic root of 2271878144 is about 1314.6041870409.

The spelling of 2271878144 in words is "two billion, two hundred seventy-one million, eight hundred seventy-eight thousand, one hundred forty-four".