252034326720 has 672 divisors, whose sum is σ = 979839072576. Its totient is φ = 59414446080.

The previous prime is 252034326667. The next prime is 252034326721. The reversal of 252034326720 is 27623430252.

252034326720 is a `hidden beast` number, since 2 + 52 + 0 + 343 + 267 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252034326721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141830472 + ... + 141832248.

It is an arithmetic number, because the mean of its divisors is an integer number (1458093858).

Almost surely, 2^252034326720 is an apocalyptic number.

252034326720 is a gapful number since it is divisible by the number (20) 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 252034326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489919536288).

252034326720 is an abundant number, since it is smaller than the sum of its proper divisors (727804745856).

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

252034326720 is a wasteful number, since it uses less digits than its factorization.

252034326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 252034326720 its reverse (27623430252), we get a palindrome (279657756972).

The spelling of 252034326720 in words is "two hundred fifty-two billion, thirty-four million, three hundred twenty-six thousand, seven hundred twenty".