2877336 has 128 divisors (see below), whose sum is σ = 10022400. Its totient is φ = 743040.

The previous prime is 2877331. The next prime is 2877349. The reversal of 2877336 is 6337782.

It is a super-3 number, since 3×2877336³ = 71464933360425927168, which contains 333 as substring.

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 an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁷ + 8⁷ + 7 + 7⁶ + 3² + 3¹² + 6 .

Its product of digits (42336) is a multiple of the sum of its prime divisors (196).

It is a self number, because there is not a number n which added to its sum of digits gives 2877336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2877331) 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 31 ways as a sum of consecutive naturals, for example, 16546 + ... + 16718.

It is an arithmetic number, because the mean of its divisors is an integer number (78300).

2^2877336 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 2877336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011200).

2877336 is an abundant number, since it is smaller than the sum of its proper divisors (7145064).

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

2877336 is a wasteful number, since it uses less digits than its factorization.

2877336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 2877336 is about 1696.2712047311. The cubic root of 2877336 is about 142.2318502958.

The spelling of 2877336 in words is "two million, eight hundred seventy-seven thousand, three hundred thirty-six".