2985680 has 20 divisors (see below), whose sum is σ = 6941892. Its totient is φ = 1194240.

The previous prime is 2985677. The next prime is 2985691. The reversal of 2985680 is 865892.

2985680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1827904 + 1157776 = 1352^2 + 1076^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18581 + ... + 18740.

2^2985680 is an apocalyptic number.

2985680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2985680 is an abundant number, since it is smaller than the sum of its proper divisors (3956212).

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

2985680 is a wasteful number, since it uses less digits than its factorization.

2985680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37334 (or 37328 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 2985680 is about 1727.9120347981. The cubic root of 2985680 is about 143.9951130029.

The spelling of 2985680 in words is "two million, nine hundred eighty-five thousand, six hundred eighty".