540240560 has 80 divisors (see below), whose sum is σ = 1338771456. Its totient is φ = 202270464.

The previous prime is 540240553. The next prime is 540240599. The reversal of 540240560 is 65042045.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×540240560² = 583719725338227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83357 + ... + 89603.

Almost surely, 2^540240560 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 540240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669385728).

540240560 is an abundant number, since it is smaller than the sum of its proper divisors (798530896).

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

540240560 is a wasteful number, since it uses less digits than its factorization.

540240560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 540240560 is about 23243.0755279933. The cubic root of 540240560 is about 814.4461893048.

The spelling of 540240560 in words is "five hundred forty million, two hundred forty thousand, five hundred sixty".