540056538 has 96 divisors (see below), whose sum is σ = 1422774720. Its totient is φ = 151351200.

The previous prime is 540056519. The next prime is 540056557. The reversal of 540056538 is 835650045.

It is an interprime number because it is at equal distance from previous prime (540056519) and next prime (540056557).

It is a super-2 number, since 2×540056538² = 583322128473090888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138313 + ... + 142163.

It is an arithmetic number, because the mean of its divisors is an integer number (14820570).

Almost surely, 2^540056538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540056538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711387360).

540056538 is an abundant number, since it is smaller than the sum of its proper divisors (882718182).

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

540056538 is a wasteful number, since it uses less digits than its factorization.

540056538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 540056538 is about 23239.1165494732. The cubic root of 540056538 is about 814.3537039391.

The spelling of 540056538 in words is "five hundred forty million, fifty-six thousand, five hundred thirty-eight".