252042024 has 64 divisors (see below), whose sum is σ = 682516800. Its totient is φ = 77101056.

The previous prime is 252042019. The next prime is 252042029. The reversal of 252042024 is 420240252.

252042024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252042019) and next prime (252042029).

It is not an unprimeable number, because it can be changed into a prime (252042029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53592 + ... + 58104.

It is an arithmetic number, because the mean of its divisors is an integer number (10664325).

Almost surely, 2^252042024 is an apocalyptic number.

252042024 is a gapful number since it is divisible by the number (24) 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 252042024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341258400).

252042024 is an abundant number, since it is smaller than the sum of its proper divisors (430474776).

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

252042024 is a wasteful number, since it uses less digits than its factorization.

252042024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 252042024 is about 15875.8314427938. The cubic root of 252042024 is about 631.6710687527.

Adding to 252042024 its reverse (420240252), we get a palindrome (672282276).

It can be divided in two parts, 2520 and 42024, that added together give a palindrome (44544).

The spelling of 252042024 in words is "two hundred fifty-two million, forty-two thousand, twenty-four".