2671648056 has 384 divisors, whose sum is σ = 9882432000. Its totient is φ = 652354560.

The previous prime is 2671648037. The next prime is 2671648069. The reversal of 2671648056 is 6508461762.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3109755 + ... + 3110613.

It is an arithmetic number, because the mean of its divisors is an integer number (25735500).

Almost surely, 2^2671648056 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 2671648056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941216000).

2671648056 is an abundant number, since it is smaller than the sum of its proper divisors (7210783944).

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

2671648056 is a wasteful number, since it uses less digits than its factorization.

2671648056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2671648056 is about 51687.9875406269. The cubic root of 2671648056 is about 1387.5854872091.

The spelling of 2671648056 in words is "two billion, six hundred seventy-one million, six hundred forty-eight thousand, fifty-six".