248040354240 has 168 divisors, whose sum is σ = 975034900320. Its totient is φ = 56694933504.

The previous prime is 248040354187. The next prime is 248040354257. The reversal of 248040354240 is 42453040842.

248040354240 is a `hidden beast` number, since 2 + 4 + 8 + 0 + 403 + 5 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 248040354195 and 248040354204.

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, 6131635 + ... + 6171954.

Almost surely, 2^248040354240 is an apocalyptic number.

248040354240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248040354240 is an abundant number, since it is smaller than the sum of its proper divisors (726994546080).

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

248040354240 is a wasteful number, since it uses less digits than its factorization.

248040354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12303619 (or 12303606 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 248040354240 in words is "two hundred forty-eight billion, forty million, three hundred fifty-four thousand, two hundred forty".