2679120 has 90 divisors (see below), whose sum is σ = 9147294. Its totient is φ = 702720.

The previous prime is 2679119. The next prime is 2679139. The reversal of 2679120 is 219762.

It can be written as a sum of positive squares in 3 ways, for example, as 207936 + 2471184 = 456^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43890 + ... + 43950.

2^2679120 is an apocalyptic number.

2679120 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 2679120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573647).

2679120 is an abundant number, since it is smaller than the sum of its proper divisors (6468174).

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

2679120 is a wasteful number, since it uses less digits than its factorization.

2679120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2679120 is about 1636.8017595298. The cubic root of 2679120 is about 138.8877861838.

The spelling of 2679120 in words is "two million, six hundred seventy-nine thousand, one hundred twenty".