2928681 has 36 divisors (see below), whose sum is σ = 5112900. Its totient is φ = 1608768.

The previous prime is 2928677. The next prime is 2928691. The reversal of 2928681 is 1868292.

It can be written as a sum of positive squares in 2 ways, for example, as 2223081 + 705600 = 1491^2 + 840^2 .

It is not a de Polignac number, because 2928681 - 2² = 2928677 is a prime.

It is a super-3 number, since 3×2928681³ = 75359405522713335723, which contains 333 as substring. Note that it is a super-d number also for d = 2.

2928681 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928691) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12675 + ... + 12903.

It is an arithmetic number, because the mean of its divisors is an integer number (142025).

2^2928681 is an apocalyptic number.

2928681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2928681 is a deficient number, since it is larger than the sum of its proper divisors (2184219).

2928681 is a wasteful number, since it uses less digits than its factorization.

2928681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2928681 is about 1711.3389494779. The cubic root of 2928681 is about 143.0728922395.

The spelling of 2928681 in words is "two million, nine hundred twenty-eight thousand, six hundred eighty-one".