542510540 has 192 divisors, whose sum is σ = 1436037120. Its totient is φ = 169344000.

The previous prime is 542510537. The next prime is 542510567. The reversal of 542510540 is 45015245.

It is a super-2 number, since 2×542510540² = 588635372022183200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2571035 + ... + 2571245.

It is an arithmetic number, because the mean of its divisors is an integer number (7479360).

Almost surely, 2^542510540 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 542510540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718018560).

542510540 is an abundant number, since it is smaller than the sum of its proper divisors (893526580).

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

542510540 is a wasteful number, since it uses less digits than its factorization.

542510540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 542510540 is about 23291.8556581480. The cubic root of 542510540 is about 815.5853072780.

Adding to 542510540 its reverse (45015245), we get a palindrome (587525785).

The spelling of 542510540 in words is "five hundred forty-two million, five hundred ten thousand, five hundred forty".