2284184672 has 96 divisors (see below), whose sum is σ = 5712747264. Its totient is φ = 873100800.

The previous prime is 2284184663. The next prime is 2284184699. The reversal of 2284184672 is 2764814822.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 121847 + ... + 139337.

It is an arithmetic number, because the mean of its divisors is an integer number (59507784).

Almost surely, 2^2284184672 is an apocalyptic number.

2284184672 is a gapful number since it is divisible by the number (22) 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 2284184672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856373632).

2284184672 is an abundant number, since it is smaller than the sum of its proper divisors (3428562592).

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

2284184672 is a wasteful number, since it uses less digits than its factorization.

2284184672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17572 (or 17564 counting only the distinct ones).

The product of its digits is 344064, while the sum is 44.

The square root of 2284184672 is about 47793.1446130091. The cubic root of 2284184672 is about 1316.9736053380.

The spelling of 2284184672 in words is "two billion, two hundred eighty-four million, one hundred eighty-four thousand, six hundred seventy-two".