540120240 has 240 divisors, whose sum is σ = 2022299136. Its totient is φ = 128064000.

The previous prime is 540120197. The next prime is 540120241. The reversal of 540120240 is 42021045.

540120240 is a `hidden beast` number, since 5 + 401 + 20 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (540120241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371515 + ... + 372965.

Almost surely, 2^540120240 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 540120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011149568).

540120240 is an abundant number, since it is smaller than the sum of its proper divisors (1482178896).

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

540120240 is a wasteful number, since it uses less digits than its factorization.

540120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 540120240 is about 23240.4870861176. The cubic root of 540120240 is about 814.3857215252.

Adding to 540120240 its reverse (42021045), we get a palindrome (582141285).

The spelling of 540120240 in words is "five hundred forty million, one hundred twenty thousand, two hundred forty".