2242912 has 96 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 829440.

The previous prime is 2242883. The next prime is 2242921. The reversal of 2242912 is 2192422.

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, 72337 + ... + 72367.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2^2242912 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 2242912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2242912 is an abundant number, since it is smaller than the sum of its proper divisors (3563168).

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

2242912 is a wasteful number, since it uses less digits than its factorization.

2242912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 2242912 is about 1497.6354696654. The cubic root of 2242912 is about 130.8993263386.

It can be divided in two parts, 224 and 2912, that added together give a square (3136 = 56²).

The spelling of 2242912 in words is "two million, two hundred forty-two thousand, nine hundred twelve".