2671265344 has 56 divisors (see below), whose sum is σ = 5869094688. Its totient is φ = 1196067840.

The previous prime is 2671265339. The next prime is 2671265383. The reversal of 2671265344 is 4435621762.

It is a hoax number, since the sum of its digits (40) 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 = 2671265297 and 2671265306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18852 + ... + 75484.

Almost surely, 2^2671265344 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 2671265344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934547344).

2671265344 is an abundant number, since it is smaller than the sum of its proper divisors (3197829344).

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

2671265344 is a wasteful number, since it uses less digits than its factorization.

2671265344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56723 (or 56713 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The square root of 2671265344 is about 51684.2852712505. The cubic root of 2671265344 is about 1387.5192271123.

The spelling of 2671265344 in words is "two billion, six hundred seventy-one million, two hundred sixty-five thousand, three hundred forty-four".