252206982720 has 1344 divisors, whose sum is σ = 1166171627520. Its totient is φ = 50687078400.

The previous prime is 252206982691. The next prime is 252206982721. The reversal of 252206982720 is 27289602252.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (252206982721) 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 191 ways as a sum of consecutive naturals, for example, 144364887 + ... + 144366633.

Almost surely, 2^252206982720 is an apocalyptic number.

252206982720 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 252206982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583085813760).

252206982720 is an abundant number, since it is smaller than the sum of its proper divisors (913964644800).

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

252206982720 is a wasteful number, since it uses less digits than its factorization.

252206982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 252206982720 in words is "two hundred fifty-two billion, two hundred six million, nine hundred eighty-two thousand, seven hundred twenty".