2471599872 has 288 divisors, whose sum is σ = 8720194560. Its totient is φ = 675164160.

The previous prime is 2471599853. The next prime is 2471599873. The reversal of 2471599872 is 2789951742.

2471599872 is a `hidden beast` number, since 2 + 47 + 1 + 599 + 8 + 7 + 2 = 666.

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

It is a super-2 number, since 2×2471599872² = 12217611854540832768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2471599873) by changing a digit.

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, 1111722 + ... + 1113942.

Almost surely, 2^2471599872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2471599872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360097280).

2471599872 is an abundant number, since it is smaller than the sum of its proper divisors (6248594688).

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

2471599872 is a wasteful number, since it uses less digits than its factorization.

2471599872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2256 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 2471599872 is about 49715.1875386184. The cubic root of 2471599872 is about 1352.0499030400.

The spelling of 2471599872 in words is "two billion, four hundred seventy-one million, five hundred ninety-nine thousand, eight hundred seventy-two".