2877408 has 72 divisors (see below), whose sum is σ = 8347248. Its totient is φ = 940032.

The previous prime is 2877401. The next prime is 2877419. The reversal of 2877408 is 8047782.

It is a tau number, because it is divible by the number of its divisors (72).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2877401) by changing a digit.

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, 27885 + ... + 27987.

It is an arithmetic number, because the mean of its divisors is an integer number (115934).

2^2877408 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 2877408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173624).

2877408 is an abundant number, since it is smaller than the sum of its proper divisors (5469840).

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

2877408 is a wasteful number, since it uses less digits than its factorization.

2877408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2877408 is about 1696.2924276197. The cubic root of 2877408 is about 142.2330366487.

The spelling of 2877408 in words is "two million, eight hundred seventy-seven thousand, four hundred eight".