2471657472 has 288 divisors, whose sum is σ = 7846505550. Its totient is φ = 748683264.

The previous prime is 2471657423. The next prime is 2471657519. The reversal of 2471657472 is 2747561742.

2471657472 is a `hidden beast` number, since 2 + 4 + 7 + 1 + 6 + 574 + 72 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2453815296 + 17842176 = 49536^2 + 4224^2 .

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

It is a super-2 number, since 2×2471657472² = 12218181317786861568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85229554 + ... + 85229582.

Almost surely, 2^2471657472 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 2471657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923252775).

2471657472 is an abundant number, since it is smaller than the sum of its proper divisors (5374848078).

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

2471657472 is an equidigital number, since it uses as much as digits as its factorization.

2471657472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 51 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 2471657472 is about 49715.7668350796. The cubic root of 2471657472 is about 1352.0604060169.

The spelling of 2471657472 in words is "two billion, four hundred seventy-one million, six hundred fifty-seven thousand, four hundred seventy-two".