2641671340 has 144 divisors (see below), whose sum is σ = 7082256384. Its totient is φ = 818428800.

The previous prime is 2641671317. The next prime is 2641671343. The reversal of 2641671340 is 431761462.

It is a junction number, because it is equal to n+sod(n) for n = 2641671296 and 2641671305.

It is not an unprimeable number, because it can be changed into a prime (2641671343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2058339 + ... + 2059621.

It is an arithmetic number, because the mean of its divisors is an integer number (49182336).

Almost surely, 2^2641671340 is an apocalyptic number.

2641671340 is a gapful number since it is divisible by the number (20) 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 2641671340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541128192).

2641671340 is an abundant number, since it is smaller than the sum of its proper divisors (4440585044).

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

2641671340 is a wasteful number, since it uses less digits than its factorization.

2641671340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 2641671340 is about 51397.1919466424. The cubic root of 2641671340 is about 1382.3762427274.

The spelling of 2641671340 in words is "two billion, six hundred forty-one million, six hundred seventy-one thousand, three hundred forty".