2240104320 has 384 divisors, whose sum is σ = 8307973440. Its totient is φ = 554729472.

The previous prime is 2240104289. The next prime is 2240104369. The reversal of 2240104320 is 234010422.

2240104320 is a `hidden beast` number, since 2 + 240 + 104 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2240104293 and 2240104302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4901532 + ... + 4901988.

Almost surely, 2^2240104320 is an apocalyptic number.

2240104320 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 2240104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153986720).

2240104320 is an abundant number, since it is smaller than the sum of its proper divisors (6067869120).

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

2240104320 is a wasteful number, since it uses less digits than its factorization.

2240104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2240104320 is about 47329.7403331140. The cubic root of 2240104320 is about 1308.4468355243.

Adding to 2240104320 its reverse (234010422), we get a palindrome (2474114742).

The spelling of 2240104320 in words is "two billion, two hundred forty million, one hundred four thousand, three hundred twenty".