248381130240 has 1280 divisors, whose sum is σ = 997537939200. Its totient is φ = 58265174016.

The previous prime is 248381130233. The next prime is 248381130241. The reversal of 248381130240 is 42031183842.

It is a happy number.

248381130240 is a `hidden beast` number, since 2 + 4 + 8 + 381 + 1 + 30 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 248381130195 and 248381130204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248381130241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1260817822 + ... + 1260818018.

It is an arithmetic number, because the mean of its divisors is an integer number (779326515).

Almost surely, 2^248381130240 is an apocalyptic number.

248381130240 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 248381130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498768969600).

248381130240 is an abundant number, since it is smaller than the sum of its proper divisors (749156808960).

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

248381130240 is a wasteful number, since it uses less digits than its factorization.

248381130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 248381130240 in words is "two hundred forty-eight billion, three hundred eighty-one million, one hundred thirty thousand, two hundred forty".