248118240 has 144 divisors (see below), whose sum is σ = 800594928. Its totient is φ = 64585728.

The previous prime is 248118173. The next prime is 248118253. The reversal of 248118240 is 42811842.

It is a super-2 number, since 2×248118240² = 123125322041395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 248118198 and 248118207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2557872 + ... + 2557968.

It is an arithmetic number, because the mean of its divisors is an integer number (5559687).

Almost surely, 2^248118240 is an apocalyptic number.

248118240 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 248118240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400297464).

248118240 is an abundant number, since it is smaller than the sum of its proper divisors (552476688).

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

248118240 is an equidigital number, since it uses as much as digits as its factorization.

248118240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 248118240 is about 15751.7694244171. The cubic root of 248118240 is about 628.3759632292.

The spelling of 248118240 in words is "two hundred forty-eight million, one hundred eighteen thousand, two hundred forty".