7305940224 has 432 divisors, whose sum is σ = 24106118400. Its totient is φ = 2108620800.

The previous prime is 7305940223. The next prime is 7305940261. The reversal of 7305940224 is 4220495037.

It is a super-2 number, since 2×7305940224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7305940223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82089172 + ... + 82089260.

It is an arithmetic number, because the mean of its divisors is an integer number (55801200).

Almost surely, 2^7305940224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7305940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053059200).

7305940224 is an abundant number, since it is smaller than the sum of its proper divisors (16800178176).

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

7305940224 is a wasteful number, since it uses less digits than its factorization.

7305940224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7305940224 is about 85474.7929158065. The cubic root of 7305940224 is about 1940.4034502959.

The spelling of 7305940224 in words is "seven billion, three hundred five million, nine hundred forty thousand, two hundred twenty-four".