2430252 has 108 divisors (see below), whose sum is σ = 7488936. Its totient is φ = 656640.

The previous prime is 2430251. The next prime is 2430257. The reversal of 2430252 is 2520342.

It is a super-2 number, since 2×2430252² = 11812249567008, 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 (2430251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127899 + ... + 127917.

It is an arithmetic number, because the mean of its divisors is an integer number (69342).

2^2430252 is an apocalyptic number.

2430252 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 2430252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744468).

2430252 is an abundant number, since it is smaller than the sum of its proper divisors (5058684).

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

2430252 is a wasteful number, since it uses less digits than its factorization.

2430252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

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

The square root of 2430252 is about 1558.9265537542. The cubic root of 2430252 is about 134.4467896188.

Adding to 2430252 its reverse (2520342), we get a palindrome (4950594).

It can be divided in two parts, 24 and 30252, that added together give a square (30276 = 174²).

The spelling of 2430252 in words is "two million, four hundred thirty thousand, two hundred fifty-two".