2671040760900 has 72 divisors (see below), whose sum is σ = 7729315292160. Its totient is φ = 712175783040.

The previous prime is 2671040760853. The next prime is 2671040760943. The reversal of 2671040760900 is 90670401762.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1479262 + ... + 2744138.

It is an arithmetic number, because the mean of its divisors is an integer number (107351601280).

Almost surely, 2^{2671040760900} is an apocalyptic number.

2671040760900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671040760900 is an abundant number, since it is smaller than the sum of its proper divisors (5058274531260).

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

2671040760900 is a wasteful number, since it uses less digits than its factorization.

2671040760900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271933 (or 1271926 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 2671040760900 in words is "two trillion, six hundred seventy-one billion, forty million, seven hundred sixty thousand, nine hundred".