7281930240 has 416 divisors, whose sum is σ = 27907064640. Its totient is φ = 1790705664.

The previous prime is 7281930221. The next prime is 7281930241. The reversal of 7281930240 is 420391827.

It is a tau number, because it is divible by the number of its divisors (416).

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

It is a junction number, because it is equal to n+sod(n) for n = 7281930195 and 7281930204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7281930241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7187974 + ... + 7188986.

It is an arithmetic number, because the mean of its divisors is an integer number (67084290).

Almost surely, 2^7281930240 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 7281930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953532320).

7281930240 is an abundant number, since it is smaller than the sum of its proper divisors (20625134400).

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

7281930240 is a wasteful number, since it uses less digits than its factorization.

7281930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7281930240 is about 85334.2266619907. The cubic root of 7281930240 is about 1938.2754930465.

The spelling of 7281930240 in words is "seven billion, two hundred eighty-one million, nine hundred thirty thousand, two hundred forty".