247487610240 has 1536 divisors, whose sum is σ = 1039346380800. Its totient is φ = 53643313152.

The previous prime is 247487610101. The next prime is 247487610241. The reversal of 247487610240 is 42016784742.

247487610240 is a `hidden beast` number, since 2 + 4 + 7 + 4 + 8 + 7 + 610 + 24 + 0 = 666.

It is a super-2 number, since 2×247487610240² (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 not an unprimeable number, because it can be changed into a prime (247487610241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2312968267 + ... + 2312968373.

It is an arithmetic number, because the mean of its divisors is an integer number (676657800).

Almost surely, 2^247487610240 is an apocalyptic number.

247487610240 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 247487610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519673190400).

247487610240 is an abundant number, since it is smaller than the sum of its proper divisors (791858770560).

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

247487610240 is a wasteful number, since it uses less digits than its factorization.

247487610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 247487610240 in words is "two hundred forty-seven billion, four hundred eighty-seven million, six hundred ten thousand, two hundred forty".