2671160 has 32 divisors (see below), whose sum is σ = 6153840. Its totient is φ = 1042944.

The previous prime is 2671139. The next prime is 2671169. The reversal of 2671160 is 611762.

2671160 = T₂₀₅ + T₂₀₆ + ... + T₂₉₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671169) 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, 944 + ... + 2496.

2^2671160 is an apocalyptic number.

2671160 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 2671160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076920).

2671160 is an abundant number, since it is smaller than the sum of its proper divisors (3482680).

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

2671160 is a wasteful number, since it uses less digits than its factorization.

2671160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 2671160 is about 1634.3683795277. The cubic root of 2671160 is about 138.7500987473.

The spelling of 2671160 in words is "two million, six hundred seventy-one thousand, one hundred sixty".