2272416000 has 144 divisors (see below), whose sum is σ = 7548148608. Its totient is φ = 605952000.

The previous prime is 2272415947. The next prime is 2272416007. The reversal of 2272416000 is 6142722.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2272416007) by changing a digit.

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, 84165 + ... + 107835.

Almost surely, 2^2272416000 is an apocalyptic number.

2272416000 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 2272416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774074304).

2272416000 is an abundant number, since it is smaller than the sum of its proper divisors (5275732608).

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

2272416000 is an equidigital number, since it uses as much as digits as its factorization.

2272416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23705 (or 23681 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2272416000 is about 47669.8646945846. The cubic root of 2272416000 is about 1314.7079208848.

Adding to 2272416000 its reverse (6142722), we get a palindrome (2278558722).

The spelling of 2272416000 in words is "two billion, two hundred seventy-two million, four hundred sixteen thousand".