2671059456 has 320 divisors, whose sum is σ = 8661945600. Its totient is φ = 807763968.

The previous prime is 2671059451. The next prime is 2671059473. The reversal of 2671059456 is 6549501762.

2671059456 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 0 + 594 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671059451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15994285 + ... + 15994451.

It is an arithmetic number, because the mean of its divisors is an integer number (27068580).

Almost surely, 2^2671059456 is an apocalyptic number.

2671059456 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 2671059456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330972800).

2671059456 is an abundant number, since it is smaller than the sum of its proper divisors (5990886144).

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

2671059456 is a wasteful number, since it uses less digits than its factorization.

2671059456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2671059456 is about 51682.2934475629. The cubic root of 2671059456 is about 1387.4835784762.

The spelling of 2671059456 in words is "two billion, six hundred seventy-one million, fifty-nine thousand, four hundred fifty-six".