7240813281 has 60 divisors (see below), whose sum is σ = 12004241652. Its totient is φ = 4191243264.

The previous prime is 7240813267. The next prime is 7240813289. The reversal of 7240813281 is 1823180427.

7240813281 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 7215653025 + 25160256 = 84945^2 + 5016^2 .

It is not a de Polignac number, because 7240813281 - 2⁹ = 7240812769 is a prime.

It is a super-2 number, since 2×7240813281² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7240813289) 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 59 ways as a sum of consecutive naturals, for example, 4369005 + ... + 4370661.

Almost surely, 2^7240813281 is an apocalyptic number.

It is an amenable number.

7240813281 is a deficient number, since it is larger than the sum of its proper divisors (4763428371).

7240813281 is a wasteful number, since it uses less digits than its factorization.

7240813281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7240813281 is about 85092.9684580342. The cubic root of 7240813281 is about 1934.6204884381.

The spelling of 7240813281 in words is "seven billion, two hundred forty million, eight hundred thirteen thousand, two hundred eighty-one".