2671960 has 32 divisors (see below), whose sum is σ = 6107760. Its totient is φ = 1051776.

The previous prime is 2671939. The next prime is 2671961. The reversal of 2671960 is 691762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671961) 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, 2182 + ... + 3178.

2^2671960 is an apocalyptic number.

2671960 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 2671960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053880).

2671960 is an abundant number, since it is smaller than the sum of its proper divisors (3435800).

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

2671960 is a wasteful number, since it uses less digits than its factorization.

2671960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 2671960 is about 1634.6131040708. The cubic root of 2671960 is about 138.7639490345.

Adding to 2671960 its product of nonzero digits (4536), we get a square (2676496 = 1636²).

The spelling of 2671960 in words is "two million, six hundred seventy-one thousand, nine hundred sixty".