542193120 has 432 divisors, whose sum is σ = 2246680800. Its totient is φ = 116619264.

The previous prime is 542193103. The next prime is 542193137. The reversal of 542193120 is 21391245.

It is an interprime number because it is at equal distance from previous prime (542193103) and next prime (542193137).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3638806 + ... + 3638954.

It is an arithmetic number, because the mean of its divisors is an integer number (5200650).

Almost surely, 2^542193120 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 542193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123340400).

542193120 is an abundant number, since it is smaller than the sum of its proper divisors (1704487680).

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

542193120 is a wasteful number, since it uses less digits than its factorization.

542193120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 542193120 is about 23285.0406913967. The cubic root of 542193120 is about 815.4262113859.

The spelling of 542193120 in words is "five hundred forty-two million, one hundred ninety-three thousand, one hundred twenty".