2671433856 has 384 divisors, whose sum is σ = 10024560000. Its totient is φ = 662667264.

The previous prime is 2671433819. The next prime is 2671433903. The reversal of 2671433856 is 6583341762.

2671433856 is a `hidden beast` number, since 267 + 1 + 4 + 3 + 385 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1781395 + ... + 1782893.

It is an arithmetic number, because the mean of its divisors is an integer number (26105625).

Almost surely, 2^2671433856 is an apocalyptic number.

2671433856 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 2671433856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280000).

2671433856 is an abundant number, since it is smaller than the sum of its proper divisors (7353126144).

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

2671433856 is a wasteful number, since it uses less digits than its factorization.

2671433856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1541 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2671433856 is about 51685.9154509234. The cubic root of 2671433856 is about 1387.5484028890.

The spelling of 2671433856 in words is "two billion, six hundred seventy-one million, four hundred thirty-three thousand, eight hundred fifty-six".