2879032 has 64 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 1192320.

The previous prime is 2879027. The next prime is 2879039. The reversal of 2879032 is 2309782.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 2878985 and 2879003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2879039) 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 15 ways as a sum of consecutive naturals, for example, 61233 + ... + 61279.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

2^2879032 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 2879032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

2879032 is an abundant number, since it is smaller than the sum of its proper divisors (3572168).

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

2879032 is a wasteful number, since it uses less digits than its factorization.

2879032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2879032 is about 1696.7710511439. The cubic root of 2879032 is about 142.2597902419.

The spelling of 2879032 in words is "two million, eight hundred seventy-nine thousand, thirty-two".