2722320 has 120 divisors (see below), whose sum is σ = 9672000. Its totient is φ = 684288.

The previous prime is 2722309. The next prime is 2722337. The reversal of 2722320 is 232272.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2722320² = 14822052364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2722293 and 2722302.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13581 + ... + 13779.

It is an arithmetic number, because the mean of its divisors is an integer number (80600).

2^2722320 is an apocalyptic number.

2722320 is a gapful number since it is divisible by the number (20) 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 2722320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836000).

2722320 is an abundant number, since it is smaller than the sum of its proper divisors (6949680).

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

2722320 is a wasteful number, since it uses less digits than its factorization.

2722320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2722320 is about 1649.9454536438. The cubic root of 2722320 is about 139.6303171950.

Adding to 2722320 its reverse (232272), we get a palindrome (2954592).

The spelling of 2722320 in words is "two million, seven hundred twenty-two thousand, three hundred twenty".