252218056640 has 448 divisors, whose sum is σ = 706709767680. Its totient is φ = 84768768000.

The previous prime is 252218056639. The next prime is 252218056693. The reversal of 252218056640 is 46650812252.

It is a super-2 number, since 2×252218056640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 860812334 + ... + 860812626.

It is an arithmetic number, because the mean of its divisors is an integer number (1577477160).

Almost surely, 2^252218056640 is an apocalyptic number.

252218056640 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 252218056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353354883840).

252218056640 is an abundant number, since it is smaller than the sum of its proper divisors (454491711040).

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

252218056640 is a wasteful number, since it uses less digits than its factorization.

252218056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

Adding to 252218056640 its reverse (46650812252), we get a palindrome (298868868892).

The spelling of 252218056640 in words is "two hundred fifty-two billion, two hundred eighteen million, fifty-six thousand, six hundred forty".