540361306260 has 72 divisors (see below), whose sum is σ = 1639819588680. Its totient is φ = 144032732928.

The previous prime is 540361306253. The next prime is 540361306267. The reversal of 540361306260 is 62603163045.

540361306260 is a `hidden beast` number, since 5 + 4 + 0 + 361 + 30 + 6 + 260 = 666.

It is an interprime number because it is at equal distance from previous prime (540361306253) and next prime (540361306267).

It can be written as a sum of positive squares in 4 ways, for example, as 921001104 + 539440305156 = 30348^2 + 734466^2 .

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 (540361306267) 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 23 ways as a sum of consecutive naturals, for example, 253107 + ... + 1069946.

It is an arithmetic number, because the mean of its divisors is an integer number (22775272065).

Almost surely, 2^540361306260 is an apocalyptic number.

It is an amenable number.

540361306260 is an abundant number, since it is smaller than the sum of its proper divisors (1099458282420).

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

540361306260 is a wasteful number, since it uses less digits than its factorization.

540361306260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325337 (or 1325332 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 540361306260 in words is "five hundred forty billion, three hundred sixty-one million, three hundred six thousand, two hundred sixty".