2671680 has 168 divisors, whose sum is σ = 9729216. Its totient is φ = 619520.

The previous prime is 2671679. The next prime is 2671681. The reversal of 2671680 is 861762.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2671679) and next prime (2671681).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2671681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116149 + ... + 116171.

It is an arithmetic number, because the mean of its divisors is an integer number (57912).

2^2671680 is an apocalyptic number.

2671680 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 2671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864608).

2671680 is an abundant number, since it is smaller than the sum of its proper divisors (7057536).

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

2671680 is a wasteful number, since it uses less digits than its factorization.

2671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2671680 is about 1634.5274546486. The cubic root of 2671680 is about 138.7591017485.

It can be divided in two parts, 26716 and 80, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 2671680 in words is "two million, six hundred seventy-one thousand, six hundred eighty".