2671725056 has 240 divisors, whose sum is σ = 7224769728. Its totient is φ = 958464000.

The previous prime is 2671725053. The next prime is 2671725059. The reversal of 2671725056 is 6505271762.

It is an interprime number because it is at equal distance from previous prime (2671725053) and next prime (2671725059).

It is a super-2 number, since 2×2671725056² = 14276229549716406272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671725053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6662456 + ... + 6662856.

Almost surely, 2^2671725056 is an apocalyptic number.

2671725056 is a gapful number since it is divisible by the number (26) 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 2671725056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612384864).

2671725056 is an abundant number, since it is smaller than the sum of its proper divisors (4553044672).

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

2671725056 is a wasteful number, since it uses less digits than its factorization.

2671725056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 2671725056 is about 51688.7323891774. The cubic root of 2671725056 is about 1387.5988176895.

It can be divided in two parts, 2671 and 725056, that added together give a palindrome (727727).

The spelling of 2671725056 in words is "two billion, six hundred seventy-one million, seven hundred twenty-five thousand, fifty-six".