240030252 has 144 divisors (see below), whose sum is σ = 763386624. Its totient is φ = 61776000.

The previous prime is 240030251. The next prime is 240030281. The reversal of 240030252 is 252030042.

It is a super-2 number, since 2×240030252² = 115229043750367008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (240030251) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 362802 + ... + 363462.

It is an arithmetic number, because the mean of its divisors is an integer number (5301296).

Almost surely, 2^240030252 is an apocalyptic number.

240030252 is a gapful number since it is divisible by the number (22) 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 240030252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381693312).

240030252 is an abundant number, since it is smaller than the sum of its proper divisors (523356372).

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

240030252 is a wasteful number, since it uses less digits than its factorization.

240030252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 240030252 is about 15492.9097331650. The cubic root of 240030252 is about 621.4726112042.

Adding to 240030252 its reverse (252030042), we get a palindrome (492060294).

The spelling of 240030252 in words is "two hundred forty million, thirty thousand, two hundred fifty-two".