248016954240 has 256 divisors, whose sum is σ = 958248057600. Its totient is φ = 60125276160.

The previous prime is 248016954091. The next prime is 248016954277. The reversal of 248016954240 is 42459610842.

It is a happy number.

248016954240 is a `hidden beast` number, since 2 + 4 + 8 + 0 + 1 + 69 + 542 + 40 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462322 + ... + 842481.

It is an arithmetic number, because the mean of its divisors is an integer number (3743156475).

Almost surely, 2^248016954240 is an apocalyptic number.

248016954240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248016954240 is an abundant number, since it is smaller than the sum of its proper divisors (710231103360).

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

248016954240 is a wasteful number, since it uses less digits than its factorization.

248016954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304842 (or 1304824 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 248016954240 in words is "two hundred forty-eight billion, sixteen million, nine hundred fifty-four thousand, two hundred forty".