2879712 has 120 divisors (see below), whose sum is σ = 9330552. Its totient is φ = 864000.

The previous prime is 2879699. The next prime is 2879713. The reversal of 2879712 is 2179782.

2879712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (2879713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28462 + ... + 28562.

2^2879712 is an apocalyptic number.

2879712 is a gapful number since it is divisible by the number (22) 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 2879712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665276).

2879712 is an abundant number, since it is smaller than the sum of its proper divisors (6450840).

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

2879712 is a wasteful number, since it uses less digits than its factorization.

2879712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2879712 is about 1696.9714199125. The cubic root of 2879712 is about 142.2709894971.

It can be divided in two parts, 287 and 9712, that added together give a palindrome (9999).

The spelling of 2879712 in words is "two million, eight hundred seventy-nine thousand, seven hundred twelve".