542083080 has 576 divisors, whose sum is σ = 2267870400. Its totient is φ = 102359040.

The previous prime is 542083057. The next prime is 542083103. The reversal of 542083080 is 80380245.

It is an interprime number because it is at equal distance from previous prime (542083057) and next prime (542083103).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18692506 + ... + 18692534.

It is an arithmetic number, because the mean of its divisors is an integer number (3937275).

Almost surely, 2^542083080 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 542083080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133935200).

542083080 is an abundant number, since it is smaller than the sum of its proper divisors (1725787320).

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

542083080 is a wasteful number, since it uses less digits than its factorization.

542083080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 542083080 is about 23282.6776810572. The cubic root of 542083080 is about 815.3710431146.

The spelling of 542083080 in words is "five hundred forty-two million, eighty-three thousand, eighty".