2471196672 has 288 divisors, whose sum is σ = 8279107200. Its totient is φ = 695549952.

The previous prime is 2471196647. The next prime is 2471196701. The reversal of 2471196672 is 2766911742.

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

It is a super-2 number, since 2×2471196672² = 12213625983407751168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13805479 + ... + 13805657.

It is an arithmetic number, because the mean of its divisors is an integer number (28746900).

Almost surely, 2^2471196672 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 2471196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139553600).

2471196672 is an abundant number, since it is smaller than the sum of its proper divisors (5807910528).

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

2471196672 is a wasteful number, since it uses less digits than its factorization.

2471196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 298 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2471196672 is about 49711.1322743709. The cubic root of 2471196672 is about 1351.9763776319.

The spelling of 2471196672 in words is "two billion, four hundred seventy-one million, one hundred ninety-six thousand, six hundred seventy-two".