2671670880 has 72 divisors (see below), whose sum is σ = 9117081792. Its totient is φ = 712445184.

The previous prime is 2671670801. The next prime is 2671670891. The reversal of 2671670880 is 880761762.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 926224 + ... + 929103.

It is an arithmetic number, because the mean of its divisors is an integer number (126626136).

Almost surely, 2^2671670880 is an apocalyptic number.

2671670880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671670880 is an abundant number, since it is smaller than the sum of its proper divisors (6445410912).

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

2671670880 is a wasteful number, since it uses less digits than its factorization.

2671670880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855348 (or 1855337 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2671670880 is about 51688.2083264646. The cubic root of 2671670880 is about 1387.5894385979.

The spelling of 2671670880 in words is "two billion, six hundred seventy-one million, six hundred seventy thousand, eight hundred eighty".