2905680 has 40 divisors (see below), whose sum is σ = 9008352. Its totient is φ = 774784.

The previous prime is 2905667. The next prime is 2905687. The reversal of 2905680 is 865092.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905687) 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, 5814 + ... + 6293.

2^2905680 is an apocalyptic number.

2905680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2905680 is an abundant number, since it is smaller than the sum of its proper divisors (6102672).

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

2905680 is a wasteful number, since it uses less digits than its factorization.

2905680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12123 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2905680 is about 1704.6055262142. The cubic root of 2905680 is about 142.6973565832.

The spelling of 2905680 in words is "two million, nine hundred five thousand, six hundred eighty".