2240421120 has 630 divisors, whose sum is σ = 9386537538. Its totient is φ = 512096256.

The previous prime is 2240421061. The next prime is 2240421121. The reversal of 2240421120 is 211240422.

2240421120 is a `hidden beast` number, since 2 + 240 + 421 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1792336896 + 448084224 = 42336^2 + 21168^2 .

It is a tau number, because it is divible by the number of its divisors (630).

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 = 2240421093 and 2240421102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240421121) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 320060157 + ... + 320060163.

Almost surely, 2^2240421120 is an apocalyptic number.

2240421120 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 2240421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693268769).

2240421120 is an abundant number, since it is smaller than the sum of its proper divisors (7146116418).

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

2240421120 is an frugal number, since it uses more digits than its factorization.

2240421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2240421120 is about 47333.0869477155. The cubic root of 2240421120 is about 1308.5085136665.

Adding to 2240421120 its reverse (211240422), we get a palindrome (2451661542).

The spelling of 2240421120 in words is "two billion, two hundred forty million, four hundred twenty-one thousand, one hundred twenty".