247475540849280 has 512 divisors, whose sum is σ = 862983146649600. Its totient is φ = 60051420610560.

The previous prime is 247475540849239. The next prime is 247475540849291. The reversal of 247475540849280 is 82948045574742.

It is a super-2 number, since 2×247475540849280² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1081542564 + ... + 1081771356.

It is an arithmetic number, because the mean of its divisors is an integer number (1685513958300).

Almost surely, 2^{247475540849280} is an apocalyptic number.

247475540849280 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 247475540849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431491573324800).

247475540849280 is an abundant number, since it is smaller than the sum of its proper divisors (615507605800320).

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

247475540849280 is a wasteful number, since it uses less digits than its factorization.

247475540849280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229932 (or 229920 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 69.

The spelling of 247475540849280 in words is "two hundred forty-seven trillion, four hundred seventy-five billion, five hundred forty million, eight hundred forty-nine thousand, two hundred eighty".