542008782 has 192 divisors, whose sum is σ = 1508083200. Its totient is φ = 137168640.

The previous prime is 542008781. The next prime is 542008783. The reversal of 542008782 is 287800245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (542008781) and next prime (542008783).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542008781) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2568657 + ... + 2568867.

It is an arithmetic number, because the mean of its divisors is an integer number (7854600).

Almost surely, 2^542008782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542008782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754041600).

542008782 is an abundant number, since it is smaller than the sum of its proper divisors (966074418).

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

542008782 is a wasteful number, since it uses less digits than its factorization.

542008782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 542008782 is about 23281.0820624815. The cubic root of 542008782 is about 815.3337897809. Note that the first 3 decimals are identical.

The spelling of 542008782 in words is "five hundred forty-two million, eight thousand, seven hundred eighty-two".