2671847424 has 192 divisors, whose sum is σ = 7986888000. Its totient is φ = 882524160.

The previous prime is 2671847413. The next prime is 2671847447. The reversal of 2671847424 is 4247481762.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 2671847424.

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, 11667342 + ... + 11667570.

It is an arithmetic number, because the mean of its divisors is an integer number (41598375).

Almost surely, 2^2671847424 is an apocalyptic number.

2671847424 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 2671847424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993444000).

2671847424 is an abundant number, since it is smaller than the sum of its proper divisors (5315040576).

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

2671847424 is a wasteful number, since it uses less digits than its factorization.

2671847424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 445 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 2671847424 is about 51689.9160765424. The cubic root of 2671847424 is about 1387.6200018927.

The spelling of 2671847424 in words is "two billion, six hundred seventy-one million, eight hundred forty-seven thousand, four hundred twenty-four".