2682864 has 60 divisors (see below), whose sum is σ = 7763392. Its totient is φ = 864000.

The previous prime is 2682859. The next prime is 2682887. The reversal of 2682864 is 4682862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4164 + ... + 4764.

2^2682864 is an apocalyptic number.

2682864 is a gapful number since it is divisible by the number (24) 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 2682864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881696).

2682864 is an abundant number, since it is smaller than the sum of its proper divisors (5080528).

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

2682864 is a wasteful number, since it uses less digits than its factorization.

2682864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 637 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2682864 is about 1637.9450540235. The cubic root of 2682864 is about 138.9524534169.

The spelling of 2682864 in words is "two million, six hundred eighty-two thousand, eight hundred sixty-four".