2671776720 has 60 divisors (see below), whose sum is σ = 8972719236. Its totient is φ = 712473600.

The previous prime is 2671776719. The next prime is 2671776769. The reversal of 2671776720 is 276771762.

It can be written as a sum of positive squares in 2 ways, for example, as 2028241296 + 643535424 = 45036^2 + 25368^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1854681 + ... + 1856120.

Almost surely, 2^2671776720 is an apocalyptic number.

2671776720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671776720 is an abundant number, since it is smaller than the sum of its proper divisors (6300942516).

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

2671776720 is a wasteful number, since it uses less digits than its factorization.

2671776720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710820 (or 3710811 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 2671776720 is about 51689.2321475179. The cubic root of 2671776720 is about 1387.6077617789.

The spelling of 2671776720 in words is "two billion, six hundred seventy-one million, seven hundred seventy-six thousand, seven hundred twenty".