542002000 has 80 divisors (see below), whose sum is σ = 1315643472. Its totient is φ = 215961600.

The previous prime is 542001997. The next prime is 542002039. The reversal of 542002000 is 200245.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 61340224 + 480661776 = 7832^2 + 21924^2 .

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

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 15 ways as a sum of consecutive naturals, for example, 913704 + ... + 914296.

Almost surely, 2^542002000 is an apocalyptic number.

542002000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657821736).

542002000 is an abundant number, since it is smaller than the sum of its proper divisors (773641472).

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

542002000 is a wasteful number, since it uses less digits than its factorization.

542002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 542002000 is about 23280.9364072840. The cubic root of 542002000 is about 815.3303890876.

Adding to 542002000 its reverse (200245), we get a palindrome (542202245).

The spelling of 542002000 in words is "five hundred forty-two million, two thousand".