7244282304 has 630 divisors, whose sum is σ = 26698011120. Its totient is φ = 1936037376.

The previous prime is 7244282257. The next prime is 7244282317. The reversal of 7244282304 is 4032824427.

7244282304 is a `hidden beast` number, since 72 + 4 + 4 + 282 + 304 = 666.

It is a super-2 number, since 2×7244282304² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 91699737 + ... + 91699815.

Almost surely, 2^7244282304 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 7244282304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13349005560).

7244282304 is an abundant number, since it is smaller than the sum of its proper divisors (19453728816).

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

7244282304 is a wasteful number, since it uses less digits than its factorization.

7244282304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 7244282304 is about 85113.3497402141. The cubic root of 7244282304 is about 1934.9293934936.

The spelling of 7244282304 in words is "seven billion, two hundred forty-four million, two hundred eighty-two thousand, three hundred four".