2671525760 has 32 divisors (see below), whose sum is σ = 6386617800. Its totient is φ = 1068610048.

The previous prime is 2671525757. The next prime is 2671525771. The reversal of 2671525760 is 675251762.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2086490 + ... + 2087769.

Almost surely, 2^2671525760 is an apocalyptic number.

2671525760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671525760 is an abundant number, since it is smaller than the sum of its proper divisors (3715092040).

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

2671525760 is an equidigital number, since it uses as much as digits as its factorization.

2671525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174278 (or 4174266 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 2671525760 is about 51686.8045055989. The cubic root of 2671525760 is about 1387.5643144173.

The spelling of 2671525760 in words is "two billion, six hundred seventy-one million, five hundred twenty-five thousand, seven hundred sixty".