2479120 has 80 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 801792.

The previous prime is 2479117. The next prime is 2479129. The reversal of 2479120 is 219742.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2479120² = 12292071948800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2479129) 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, 10524 + ... + 10756.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

2^2479120 is an apocalyptic number.

2479120 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 2479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2479120 is an abundant number, since it is smaller than the sum of its proper divisors (4484720).

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

2479120 is a wasteful number, since it uses less digits than its factorization.

2479120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2479120 is about 1574.5221497331. The cubic root of 2479120 is about 135.3419770634.

The spelling of 2479120 in words is "two million, four hundred seventy-nine thousand, one hundred twenty".