2679240 has 64 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 703232.

The previous prime is 2679239. The next prime is 2679241. The reversal of 2679240 is 429762.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2679239) and next prime (2679241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2679198 and 2679207.

It is not an unprimeable number, because it can be changed into a prime (2679241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9826 + ... + 10094.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

2^2679240 is an apocalyptic number.

2679240 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 2679240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

2679240 is an abundant number, since it is smaller than the sum of its proper divisors (5485560).

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

2679240 is a wasteful number, since it uses less digits than its factorization.

2679240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2679240 is about 1636.8384159715. The cubic root of 2679240 is about 138.8898597858.

The spelling of 2679240 in words is "two million, six hundred seventy-nine thousand, two hundred forty".