252030102324240 has 160 divisors (see below), whose sum is σ = 827725298083200. Its totient is φ = 63218404564992.

The previous prime is 252030102324239. The next prime is 252030102324241. The reversal of 252030102324240 is 42423201030252.

It is an interprime number because it is at equal distance from previous prime (252030102324239) and next prime (252030102324241).

It is a super-3 number, since 3×252030102324240³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252030102324198 and 252030102324207.

It is not an unprimeable number, because it can be changed into a prime (252030102324241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10551715 + ... + 24807234.

It is an arithmetic number, because the mean of its divisors is an integer number (5173283113020).

Almost surely, 2^{252030102324240} is an apocalyptic number.

252030102324240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252030102324240 is an abundant number, since it is smaller than the sum of its proper divisors (575695195758960).

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

252030102324240 is a wasteful number, since it uses less digits than its factorization.

252030102324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35360729 (or 35360723 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 252030102324240 its reverse (42423201030252), we get a palindrome (294453303354492).

The spelling of 252030102324240 in words is "two hundred fifty-two trillion, thirty billion, one hundred two million, three hundred twenty-four thousand, two hundred forty".