247285398240 has 288 divisors, whose sum is σ = 895282053120. Its totient is φ = 61979323392.

The previous prime is 247285398233. The next prime is 247285398251. The reversal of 247285398240 is 42893582742.

247285398240 is a `hidden beast` number, since 2 + 4 + 7 + 2 + 8 + 5 + 398 + 240 = 666.

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

It is a super-2 number, since 2×247285398240² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3439137 + ... + 3510303.

It is an arithmetic number, because the mean of its divisors is an integer number (3108618240).

Almost surely, 2^247285398240 is an apocalyptic number.

247285398240 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 247285398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447641026560).

247285398240 is an abundant number, since it is smaller than the sum of its proper divisors (647996654880).

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

247285398240 is a wasteful number, since it uses less digits than its factorization.

247285398240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71334 (or 71323 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 247285398240 in words is "two hundred forty-seven billion, two hundred eighty-five million, three hundred ninety-eight thousand, two hundred forty".