2274331584 has 112 divisors (see below), whose sum is σ = 6919008768. Its totient is φ = 645854208.

The previous prime is 2274331561. The next prime is 2274331607. The reversal of 2274331584 is 4851334722.

It is an interprime number because it is at equal distance from previous prime (2274331561) and next prime (2274331607).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219382 + ... + 229514.

It is an arithmetic number, because the mean of its divisors is an integer number (61776864).

Almost surely, 2^2274331584 is an apocalyptic number.

2274331584 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 2274331584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459504384).

2274331584 is an abundant number, since it is smaller than the sum of its proper divisors (4644677184).

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

2274331584 is a wasteful number, since it uses less digits than its factorization.

2274331584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10322 (or 10312 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 2274331584 is about 47689.9526525242. The cubic root of 2274331584 is about 1315.0772379659.

The spelling of 2274331584 in words is "two billion, two hundred seventy-four million, three hundred thirty-one thousand, five hundred eighty-four".