542664540 has 144 divisors (see below), whose sum is σ = 1825570656. Its totient is φ = 129369600.

The previous prime is 542664527. The next prime is 542664547. The reversal of 542664540 is 45466245.

542664540 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 645 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 542664495 and 542664504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542664547) by changing a digit.

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, 118534 + ... + 123026.

It is an arithmetic number, because the mean of its divisors is an integer number (12677574).

Almost surely, 2^542664540 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 542664540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912785328).

542664540 is an abundant number, since it is smaller than the sum of its proper divisors (1282906116).

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

542664540 is a wasteful number, since it uses less digits than its factorization.

542664540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 542664540 is about 23295.1613001499. The cubic root of 542664540 is about 815.6624721411.

The spelling of 542664540 in words is "five hundred forty-two million, six hundred sixty-four thousand, five hundred forty".