2242437120 has 672 divisors, whose sum is σ = 9814072320. Its totient is φ = 460062720.

The previous prime is 2242437107. The next prime is 2242437121. The reversal of 2242437120 is 217342422.

2242437120 is a `hidden beast` number, since 224 + 2 + 437 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242437121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28385241 + ... + 28385319.

Almost surely, 2^2242437120 is an apocalyptic number.

2242437120 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 2242437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907036160).

2242437120 is an abundant number, since it is smaller than the sum of its proper divisors (7571635200).

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

2242437120 is a wasteful number, since it uses less digits than its factorization.

2242437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2242437120 is about 47354.3780446961. The cubic root of 2242437120 is about 1308.9008747719.

Adding to 2242437120 its reverse (217342422), we get a palindrome (2459779542).

The spelling of 2242437120 in words is "two billion, two hundred forty-two million, four hundred thirty-seven thousand, one hundred twenty".