2879440 has 20 divisors (see below), whose sum is σ = 6694884. Its totient is φ = 1151744.

The previous prime is 2879423. The next prime is 2879447. The reversal of 2879440 is 449782.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 1008016 = 1368^2 + 1004^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2879396 and 2879405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2879447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17917 + ... + 18076.

2^2879440 is an apocalyptic number.

2879440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2879440 is an abundant number, since it is smaller than the sum of its proper divisors (3815444).

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

2879440 is a wasteful number, since it uses less digits than its factorization.

2879440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36006 (or 36000 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2879440 is about 1696.8912752442. The cubic root of 2879440 is about 142.2665100066.

The spelling of 2879440 in words is "two million, eight hundred seventy-nine thousand, four hundred forty".