247376906240 has 192 divisors, whose sum is σ = 629578338480. Its totient is φ = 92966748160.

The previous prime is 247376906237. The next prime is 247376906243. The reversal of 247376906240 is 42609673742.

It is an interprime number because it is at equal distance from previous prime (247376906237) and next prime (247376906243).

It can be written as a sum of positive squares in 8 ways, for example, as 114601206784 + 132775699456 = 338528^2 + 364384^2 .

It is a super-2 number, since 2×247376906240² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (247376906243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153363674 + ... + 153365286.

Almost surely, 2^247376906240 is an apocalyptic number.

247376906240 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 247376906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314789169240).

247376906240 is an abundant number, since it is smaller than the sum of its proper divisors (382201432240).

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

247376906240 is a wasteful number, since it uses less digits than its factorization.

247376906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 50.

The spelling of 247376906240 in words is "two hundred forty-seven billion, three hundred seventy-six million, nine hundred six thousand, two hundred forty".