2671720960 has 80 divisors (see below), whose sum is σ = 6422017536. Its totient is φ = 1065996288.

The previous prime is 2671720951. The next prime is 2671721029. The reversal of 2671720960 is 690271762.

2671720960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1245649 + ... + 1247791.

Almost surely, 2^2671720960 is an apocalyptic number.

2671720960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211008768).

2671720960 is an abundant number, since it is smaller than the sum of its proper divisors (3750296576).

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

2671720960 is an equidigital number, since it uses as much as digits as its factorization.

2671720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 2671720960 is about 51688.6927673742. The cubic root of 2671720960 is about 1387.5981085836.

The spelling of 2671720960 in words is "two billion, six hundred seventy-one million, seven hundred twenty thousand, nine hundred sixty".