2242727424 has 240 divisors, whose sum is σ = 7721505792. Its totient is φ = 612716544.

The previous prime is 2242727423. The next prime is 2242727449. The reversal of 2242727424 is 4247272422.

2242727424 = 3652² + 3653² + ... + 3812².

2242727424 is a `hidden beast` number, since 224 + 2 + 7 + 2 + 7 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242727423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740377 + ... + 743399.

Almost surely, 2^2242727424 is an apocalyptic number.

2242727424 is a gapful number since it is divisible by the number (24) 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 2242727424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860752896).

2242727424 is an abundant number, since it is smaller than the sum of its proper divisors (5478778368).

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

2242727424 is a wasteful number, since it uses less digits than its factorization.

2242727424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3058 counting only the distinct ones).

The product of its digits is 100352, while the sum is 36.

The square root of 2242727424 is about 47357.4431742255. The cubic root of 2242727424 is about 1308.9573553989.

Adding to 2242727424 its reverse (4247272422), we get a palindrome (6489999846).

The spelling of 2242727424 in words is "two billion, two hundred forty-two million, seven hundred twenty-seven thousand, four hundred twenty-four".