248280687840 has 192 divisors, whose sum is σ = 805063323456. Its totient is φ = 64288653312.

The previous prime is 248280687827. The next prime is 248280687859. The reversal of 248280687840 is 48786082842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2417374 + ... + 2517986.

It is an arithmetic number, because the mean of its divisors is an integer number (4193038143).

Almost surely, 2^248280687840 is an apocalyptic number.

248280687840 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 248280687840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402531661728).

248280687840 is an abundant number, since it is smaller than the sum of its proper divisors (556782635616).

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

248280687840 is a wasteful number, since it uses less digits than its factorization.

248280687840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100781 (or 100773 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 57.

The spelling of 248280687840 in words is "two hundred forty-eight billion, two hundred eighty million, six hundred eighty-seven thousand, eight hundred forty".