2471684064 has 96 divisors (see below), whose sum is σ = 6878785536. Its totient is φ = 775733760.

The previous prime is 2471684051. The next prime is 2471684093. The reversal of 2471684064 is 4604861742.

2471684064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2471684064² = 12218444224463112192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98889 + ... + 121335.

It is an arithmetic number, because the mean of its divisors is an integer number (71654016).

Almost surely, 2^2471684064 is an apocalyptic number.

2471684064 is a gapful number since it is divisible by the number (24) 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 2471684064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439392768).

2471684064 is an abundant number, since it is smaller than the sum of its proper divisors (4407101472).

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

2471684064 is a wasteful number, since it uses less digits than its factorization.

2471684064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22528 (or 22520 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2471684064 is about 49716.0342746684. The cubic root of 2471684064 is about 1352.0652548362.

The spelling of 2471684064 in words is "two billion, four hundred seventy-one million, six hundred eighty-four thousand, sixty-four".