2242656 has 72 divisors (see below), whose sum is σ = 6879600. Its totient is φ = 688896.

The previous prime is 2242651. The next prime is 2242663. The reversal of 2242656 is 6562422.

2242656 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3445 + ... + 4043.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

2^2242656 is an apocalyptic number.

2242656 is a gapful number since it is divisible by the number (26) 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 2242656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439800).

2242656 is an abundant number, since it is smaller than the sum of its proper divisors (4636944).

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

2242656 is a wasteful number, since it uses less digits than its factorization.

2242656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2242656 is about 1497.5499991653. The cubic root of 2242656 is about 130.8943459824.

The spelling of 2242656 in words is "two million, two hundred forty-two thousand, six hundred fifty-six".