2722424000 has 112 divisors (see below), whose sum is σ = 6838468416. Its totient is φ = 1073408000.

The previous prime is 2722423997. The next prime is 2722424011. The reversal of 2722424000 is 4242272.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565604 + ... + 570396.

Almost surely, 2^2722424000 is an apocalyptic number.

2722424000 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 2722424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419234208).

2722424000 is an abundant number, since it is smaller than the sum of its proper divisors (4116044416).

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

2722424000 is an equidigital number, since it uses as much as digits as its factorization.

2722424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 2722424000 is about 52176.8531055678. The cubic root of 2722424000 is about 1396.3209525782.

Adding to 2722424000 its reverse (4242272), we get a palindrome (2726666272).

The spelling of 2722424000 in words is "two billion, seven hundred twenty-two million, four hundred twenty-four thousand".