252816780 has 192 divisors, whose sum is σ = 780595200. Its totient is φ = 60963840.

The previous prime is 252816779. The next prime is 252816799. The reversal of 252816780 is 87618252.

252816780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2319366 + ... + 2319474.

It is an arithmetic number, because the mean of its divisors is an integer number (4065600).

Almost surely, 2^252816780 is an apocalyptic number.

252816780 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 252816780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390297600).

252816780 is an abundant number, since it is smaller than the sum of its proper divisors (527778420).

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

252816780 is a wasteful number, since it uses less digits than its factorization.

252816780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 252816780 is about 15900.2132061177. The cubic root of 252816780 is about 632.3176412944.

The spelling of 252816780 in words is "two hundred fifty-two million, eight hundred sixteen thousand, seven hundred eighty".