2879240 has 96 divisors (see below), whose sum is σ = 8187480. Its totient is φ = 903168.

The previous prime is 2879213. The next prime is 2879243. The reversal of 2879240 is 429782.

It can be written as a sum of positive squares in 4 ways, for example, as 879844 + 1999396 = 938^2 + 1414^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2879197 and 2879206.

It is not an unprimeable number, because it can be changed into a prime (2879243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25424 + ... + 25536.

2^2879240 is an apocalyptic number.

2879240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2879240 is the 980-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2879240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093740).

2879240 is an abundant number, since it is smaller than the sum of its proper divisors (5308240).

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

2879240 is a wasteful number, since it uses less digits than its factorization.

2879240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2879240 is about 1696.8323429261. The cubic root of 2879240 is about 142.2632160836.

The spelling of 2879240 in words is "two million, eight hundred seventy-nine thousand, two hundred forty".