2242240224 has 96 divisors (see below), whose sum is σ = 6827256576. Its totient is φ = 631065600.

The previous prime is 2242240213. The next prime is 2242240243. The reversal of 2242240224 is 4220422422.

2242240224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2242240194 and 2242240203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20124 + ... + 69924.

It is an arithmetic number, because the mean of its divisors is an integer number (71117256).

Almost surely, 2^2242240224 is an apocalyptic number.

2242240224 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 2242240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413628288).

2242240224 is an abundant number, since it is smaller than the sum of its proper divisors (4585016352).

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

2242240224 is a wasteful number, since it uses less digits than its factorization.

2242240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49888 (or 49880 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2242240224 is about 47352.2990360553. The cubic root of 2242240224 is about 1308.8625645353.

Adding to 2242240224 its reverse (4220422422), we get a palindrome (6462662646).

The spelling of 2242240224 in words is "two billion, two hundred forty-two million, two hundred forty thousand, two hundred twenty-four".