252218880 has 320 divisors, whose sum is σ = 928065600. Its totient is φ = 64880640.

The previous prime is 252218867. The next prime is 252218893. The reversal of 252218880 is 88812252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252218867) and next prime (252218893).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×252218880² = 127228726856908800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2833876 + ... + 2833964.

It is an arithmetic number, because the mean of its divisors is an integer number (2900205).

Almost surely, 2^252218880 is an apocalyptic number.

252218880 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 252218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464032800).

252218880 is an abundant number, since it is smaller than the sum of its proper divisors (675846720).

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

252218880 is an equidigital number, since it uses as much as digits as its factorization.

252218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 252218880 is about 15881.4004420265. The cubic root of 252218880 is about 631.8187804942.

The spelling of 252218880 in words is "two hundred fifty-two million, two hundred eighteen thousand, eight hundred eighty".