252414650880 has 960 divisors, whose sum is σ = 1082941187328. Its totient is φ = 53013381120.

The previous prime is 252414650861. The next prime is 252414650881. The reversal of 252414650880 is 88056414252.

252414650880 is a `hidden beast` number, since 2 + 5 + 24 + 1 + 46 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (252414650881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117894610 + ... + 117896750.

Almost surely, 2^252414650880 is an apocalyptic number.

252414650880 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 252414650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541470593664).

252414650880 is an abundant number, since it is smaller than the sum of its proper divisors (830526536448).

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

252414650880 is a wasteful number, since it uses less digits than its factorization.

252414650880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 252414650880 in words is "two hundred fifty-two billion, four hundred fourteen million, six hundred fifty thousand, eight hundred eighty".