2671667560 has 64 divisors (see below), whose sum is σ = 6088867200. Its totient is φ = 1054937856.

The previous prime is 2671667497. The next prime is 2671667563. The reversal of 2671667560 is 657661762.

It is a self number, because there is not a number n which added to its sum of digits gives 2671667560.

It is not an unprimeable number, because it can be changed into a prime (2671667563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1601847 + ... + 1603513.

It is an arithmetic number, because the mean of its divisors is an integer number (95138550).

Almost surely, 2^2671667560 is an apocalyptic number.

2671667560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671667560 is an abundant number, since it is smaller than the sum of its proper divisors (3417199640).

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

2671667560 is a wasteful number, since it uses less digits than its factorization.

2671667560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The square root of 2671667560 is about 51688.1762108125. The cubic root of 2671667560 is about 1387.5888638267.

The spelling of 2671667560 in words is "two billion, six hundred seventy-one million, six hundred sixty-seven thousand, five hundred sixty".