2242311120 has 160 divisors (see below), whose sum is σ = 8826935040. Its totient is φ = 512524800.

The previous prime is 2242311091. The next prime is 2242311131. The reversal of 2242311120 is 211132422.

It is a happy number.

2242311120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 2242311093 and 2242311102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59031 + ... + 89270.

It is an arithmetic number, because the mean of its divisors is an integer number (55168344).

Almost surely, 2^2242311120 is an apocalyptic number.

2242311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242311120 is an abundant number, since it is smaller than the sum of its proper divisors (6584623920).

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

2242311120 is a wasteful number, since it uses less digits than its factorization.

2242311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148330 (or 148318 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2242311120 is about 47353.0476315939. The cubic root of 2242311120 is about 1308.8763590939.

Adding to 2242311120 its reverse (211132422), we get a palindrome (2453443542).

The spelling of 2242311120 in words is "two billion, two hundred forty-two million, three hundred eleven thousand, one hundred twenty".