2722368 has 56 divisors (see below), whose sum is σ = 7863840. Its totient is φ = 824320.

The previous prime is 2722367. The next prime is 2722387. The reversal of 2722368 is 8632272.

It is a super-2 number, since 2×2722368² = 14822575054848, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹⁶ + 7⁵ + 2¹⁸ + 2²¹ + 3⁶ + 6⁷ + 8² .

It is not an unprimeable number, because it can be changed into a prime (2722361) 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 7 ways as a sum of consecutive naturals, for example, 1468 + ... + 2756.

2^2722368 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 2722368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931920).

2722368 is an abundant number, since it is smaller than the sum of its proper divisors (5141472).

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

2722368 is a wasteful number, since it uses less digits than its factorization.

2722368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1305 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2722368 is about 1649.9599995151. The cubic root of 2722368 is about 139.6311378450.

The spelling of 2722368 in words is "two million, seven hundred twenty-two thousand, three hundred sixty-eight".