2671267120 has 80 divisors (see below), whose sum is σ = 6613371360. Its totient is φ = 999944192.

The previous prime is 2671267087. The next prime is 2671267129. The reversal of 2671267120 is 217621762.

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 (34).

It is not an unprimeable number, because it can be changed into a prime (2671267129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237954 + ... + 248926.

It is an arithmetic number, because the mean of its divisors is an integer number (82667142).

Almost surely, 2^2671267120 is an apocalyptic number.

2671267120 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 2671267120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306685680).

2671267120 is an abundant number, since it is smaller than the sum of its proper divisors (3942104240).

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

2671267120 is a wasteful number, since it uses less digits than its factorization.

2671267120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11182 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 2671267120 is about 51684.3024524855. The cubic root of 2671267120 is about 1387.5195346112.

Adding to 2671267120 its reverse (217621762), we get a palindrome (2888888882).

The spelling of 2671267120 in words is "two billion, six hundred seventy-one million, two hundred sixty-seven thousand, one hundred twenty".