2879624 has 32 divisors (see below), whose sum is σ = 6035040. Its totient is φ = 1276800.

The previous prime is 2879609. The next prime is 2879641. The reversal of 2879624 is 4269782.

It is a d-powerful number, because it can be written as 2¹¹ + 8⁷ + 7⁶ + 9⁶ + 6 + 2¹⁷ + 4⁴ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3404 + ... + 4164.

It is an arithmetic number, because the mean of its divisors is an integer number (188595).

2^2879624 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 2879624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017520).

2879624 is an abundant number, since it is smaller than the sum of its proper divisors (3155416).

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

2879624 is a wasteful number, since it uses less digits than its factorization.

2879624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 817 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 2879624 is about 1696.9454911694. The cubic root of 2879624 is about 142.2695402810.

The spelling of 2879624 in words is "two million, eight hundred seventy-nine thousand, six hundred twenty-four".