248064042240 has 432 divisors, whose sum is σ = 1017224627328. Its totient is φ = 56699854848.

The previous prime is 248064042227. The next prime is 248064042251. The reversal of 248064042240 is 42240460842.

It is a happy number.

248064042240 is a `hidden beast` number, since 2 + 4 + 8 + 0 + 6 + 404 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 248064042195 and 248064042204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2120314 + ... + 2234246.

Almost surely, 2^248064042240 is an apocalyptic number.

248064042240 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 248064042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508612313664).

248064042240 is an abundant number, since it is smaller than the sum of its proper divisors (769160585088).

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

248064042240 is an equidigital number, since it uses as much as digits as its factorization.

248064042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113976 (or 113950 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 248064042240 in words is "two hundred forty-eight billion, sixty-four million, forty-two thousand, two hundred forty".