2671560394880 has 64 divisors (see below), whose sum is σ = 6877983634200. Its totient is φ = 986422296576.

The previous prime is 2671560394879. The next prime is 2671560394883. The reversal of 2671560394880 is 884930651762.

It can be written as a sum of positive squares in 4 ways, for example, as 1725734123584 + 945826271296 = 1313672^2 + 972536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2671560394883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160542185 + ... + 160558824.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2671560394880 = 5343120789760, but 3⋅2671560394880 = 8014681184640 is not.

Almost surely, 2^{2671560394880} is an apocalyptic number.

2671560394880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671560394880 is an abundant number, since it is smaller than the sum of its proper divisors (4206423239320).

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

2671560394880 is a wasteful number, since it uses less digits than its factorization.

2671560394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321101041 (or 321101029 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 59.

The spelling of 2671560394880 in words is "two trillion, six hundred seventy-one billion, five hundred sixty million, three hundred ninety-four thousand, eight hundred eighty".