252024024 has 32 divisors (see below), whose sum is σ = 720069120. Its totient is φ = 72006816.

The previous prime is 252023977. The next prime is 252024043. The reversal of 252024024 is 420420252.

It is a super-2 number, since 2×252024024² = 127032217346305152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749904 + ... + 750239.

It is an arithmetic number, because the mean of its divisors is an integer number (22502160).

Almost surely, 2^252024024 is an apocalyptic number.

252024024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252024024 is an abundant number, since it is smaller than the sum of its proper divisors (468045096).

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

252024024 is a wasteful number, since it uses less digits than its factorization.

252024024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500159 (or 1500155 counting only the distinct ones).

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

The square root of 252024024 is about 15875.2645332290. The cubic root of 252024024 is about 631.6560311150.

Adding to 252024024 its reverse (420420252), we get a palindrome (672444276).

The spelling of 252024024 in words is "two hundred fifty-two million, twenty-four thousand, twenty-four".