247041000960 has 320 divisors, whose sum is σ = 858803033088. Its totient is φ = 60217196544.

The previous prime is 247041000937. The next prime is 247041000991. The reversal of 247041000960 is 69000140742.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×247041000960² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10271509 + ... + 10295531.

Almost surely, 2^247041000960 is an apocalyptic number.

247041000960 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 247041000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429401516544).

247041000960 is an abundant number, since it is smaller than the sum of its proper divisors (611762032128).

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

247041000960 is a wasteful number, since it uses less digits than its factorization.

247041000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24165 (or 24149 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 247041000960 in words is "two hundred forty-seven billion, forty-one million, nine hundred sixty", and thus it is an aban number.