2605680 has 240 divisors, whose sum is σ = 11142144. Its totient is φ = 529920.

The previous prime is 2605663. The next prime is 2605741. The reversal of 2605680 is 865062.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55417 + ... + 55463.

2^2605680 is an apocalyptic number.

2605680 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 2605680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072).

2605680 is an abundant number, since it is smaller than the sum of its proper divisors (8536464).

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

2605680 is a wasteful number, since it uses less digits than its factorization.

2605680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2605680 is about 1614.2118820031. The cubic root of 2605680 is about 137.6069470983.

The spelling of 2605680 in words is "two million, six hundred five thousand, six hundred eighty".