2671082848 has 96 divisors (see below), whose sum is σ = 6122511360. Its totient is φ = 1123476480.

The previous prime is 2671082831. The next prime is 2671082861. The reversal of 2671082848 is 8482801762.

It is a happy number.

It is a super-2 number, since 2×2671082848² = 14269367161759582208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2671082798 and 2671082807.

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, 6197193 + ... + 6197623.

It is an arithmetic number, because the mean of its divisors is an integer number (63776160).

Almost surely, 2^2671082848 is an apocalyptic number.

2671082848 is a gapful number since it is divisible by the number (28) 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 2671082848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061255680).

2671082848 is an abundant number, since it is smaller than the sum of its proper divisors (3451428512).

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

2671082848 is a wasteful number, since it uses less digits than its factorization.

2671082848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 2671082848 is about 51682.5197528139. The cubic root of 2671082848 is about 1387.4876287943.

The spelling of 2671082848 in words is "two billion, six hundred seventy-one million, eighty-two thousand, eight hundred forty-eight".