2679824 has 40 divisors (see below), whose sum is σ = 6035328. Its totient is φ = 1128960.

The previous prime is 2679811. The next prime is 2679841. The reversal of 2679824 is 4289762.

It is a d-powerful number, because it can be written as 2¹⁹ + 6⁵ + 7⁵ + 9 + 8⁵ + 2²¹ + 4⁵ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7784 + ... + 8120.

2^2679824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2679824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017664).

2679824 is an abundant number, since it is smaller than the sum of its proper divisors (3355504).

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

2679824 is a wasteful number, since it uses less digits than its factorization.

2679824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 2679824 is about 1637.0167989364. The cubic root of 2679824 is about 138.8999504316.

The spelling of 2679824 in words is "two million, six hundred seventy-nine thousand, eight hundred twenty-four".