252110720 has 64 divisors (see below), whose sum is σ = 616785840. Its totient is φ = 98488320.

The previous prime is 252110713. The next prime is 252110723. The reversal of 252110720 is 27011252.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 252110692 and 252110701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252110723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22940 + ... + 32100.

Almost surely, 2^252110720 is an apocalyptic number.

252110720 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 252110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308392920).

252110720 is an abundant number, since it is smaller than the sum of its proper divisors (364675120).

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

252110720 is an equidigital number, since it uses as much as digits as its factorization.

252110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 252110720 is about 15877.9948356208. The cubic root of 252110720 is about 631.7284524821.

Adding to 252110720 its reverse (27011252), we get a palindrome (279121972).

The spelling of 252110720 in words is "two hundred fifty-two million, one hundred ten thousand, seven hundred twenty".