2879640 has 96 divisors (see below), whose sum is σ = 9874800. Its totient is φ = 725760.

The previous prime is 2879609. The next prime is 2879641. The reversal of 2879640 is 469782.

2879640 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 640 = 666.

2879640 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 junction number, because it is equal to n+sod(n) for n = 2879595 and 2879604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2879641) 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 23 ways as a sum of consecutive naturals, for example, 6630 + ... + 7050.

2^2879640 is an apocalyptic number.

2879640 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 2879640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937400).

2879640 is an abundant number, since it is smaller than the sum of its proper divisors (6995160).

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

2879640 is a wasteful number, since it uses less digits than its factorization.

2879640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2879640 is about 1696.9502055158. The cubic root of 2879640 is about 142.2698037771.

The spelling of 2879640 in words is "two million, eight hundred seventy-nine thousand, six hundred forty".