42516024 has 64 divisors (see below), whose sum is σ = 109412640. Its totient is φ = 13762560.

The previous prime is 42515999. The next prime is 42516037. The reversal of 42516024 is 42061524.

It is a super-2 number, since 2×42516024² = 3615224593537152, which contains 22 as substring.

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 = 42515985 and 42516003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165304 + ... + 165560.

Almost surely, 2^42516024 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 42516024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54706320).

42516024 is an abundant number, since it is smaller than the sum of its proper divisors (66896616).

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

42516024 is a wasteful number, since it uses less digits than its factorization.

42516024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

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

The square root of 42516024 is about 6520.4312740800. The cubic root of 42516024 is about 349.0204556665.

Adding to 42516024 its reverse (42061524), we get a palindrome (84577548).

The spelling of 42516024 in words is "forty-two million, five hundred sixteen thousand, twenty-four".