2879100 has 108 divisors (see below), whose sum is σ = 10336144. Its totient is φ = 656640.

The previous prime is 2879099. The next prime is 2879101. The reversal of 2879100 is 19782.

It is an interprime number because it is at equal distance from previous prime (2879099) and next prime (2879101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2879101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6072 + ... + 6528.

2^2879100 is an apocalyptic number.

2879100 is a gapful number since it is divisible by the number (20) 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 2879100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168072).

2879100 is an abundant number, since it is smaller than the sum of its proper divisors (7457044).

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

2879100 is a wasteful number, since it uses less digits than its factorization.

2879100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2879100 is about 1696.7910890855. The cubic root of 2879100 is about 142.2609102468.

The spelling of 2879100 in words is "two million, eight hundred seventy-nine thousand, one hundred".