2271984 has 80 divisors (see below), whose sum is σ = 6916224. Its totient is φ = 633600.

The previous prime is 2271977. The next prime is 2271989. The reversal of 2271984 is 4891722.

It is a happy number.

It is a super-3 number, since 3×2271984³ = 35183339623538675712, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6699 + ... + 7029.

2^2271984 is an apocalyptic number.

2271984 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 2271984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458112).

2271984 is an abundant number, since it is smaller than the sum of its proper divisors (4644240).

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

2271984 is a wasteful number, since it uses less digits than its factorization.

2271984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 2271984 is about 1507.3101870551. The cubic root of 2271984 is about 131.4624604301.

It can be divided in two parts, 227 and 1984, that added together give a triangular number (2211 = T₆₆).

The spelling of 2271984 in words is "two million, two hundred seventy-one thousand, nine hundred eighty-four".