542010624 has 72 divisors (see below), whose sum is σ = 1449359520. Its totient is φ = 179816448.

The previous prime is 542010607. The next prime is 542010641. The reversal of 542010624 is 426010245.

It is an interprime number because it is at equal distance from previous prime (542010607) and next prime (542010641).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 542010594 and 542010603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172782 + ... + 175890.

Almost surely, 2^542010624 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 542010624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724679760).

542010624 is an abundant number, since it is smaller than the sum of its proper divisors (907348896).

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

542010624 is a wasteful number, since it uses less digits than its factorization.

542010624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 542010624 is about 23281.1216224648. The cubic root of 542010624 is about 815.3347134087.

Adding to 542010624 its reverse (426010245), we get a palindrome (968020869).

The spelling of 542010624 in words is "five hundred forty-two million, ten thousand, six hundred twenty-four".