2679408 has 60 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 853248.

The previous prime is 2679407. The next prime is 2679427. The reversal of 2679408 is 8049762.

2679408 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 2²¹ + 6³ + 7⁵ + 9⁶ + 4⁵ + 0 + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2908 + ... + 3716.

It is an arithmetic number, because the mean of its divisors is an integer number (130572).

2^2679408 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 2679408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

2679408 is an abundant number, since it is smaller than the sum of its proper divisors (5154912).

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

2679408 is a wasteful number, since it uses less digits than its factorization.

2679408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2679408 is about 1636.8897336107. The cubic root of 2679408 is about 138.8927627245.

The spelling of 2679408 in words is "two million, six hundred seventy-nine thousand, four hundred eight".