248639610240 has 288 divisors, whose sum is σ = 998761710960. Its totient is φ = 56831846400.

The previous prime is 248639610203. The next prime is 248639610283. The reversal of 248639610240 is 42016936842.

248639610240 is a `hidden beast` number, since 2 + 4 + 8 + 6 + 3 + 9 + 610 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×248639610240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 158236 + ... + 722715.

Almost surely, 2^248639610240 is an apocalyptic number.

248639610240 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 248639610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499380855480).

248639610240 is an abundant number, since it is smaller than the sum of its proper divisors (750122100720).

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

248639610240 is a wasteful number, since it uses less digits than its factorization.

248639610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880990 (or 880968 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 248639610240 in words is "two hundred forty-eight billion, six hundred thirty-nine million, six hundred ten thousand, two hundred forty".