2479360 has 72 divisors (see below), whose sum is σ = 6438600. Its totient is φ = 909312.

The previous prime is 2479327. The next prime is 2479361. The reversal of 2479360 is 639742.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 2458624 = 144^2 + 1568^2 .

It is a super-2 number, since 2×2479360² = 12294452019200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2479361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16566 + ... + 16714.

It is an arithmetic number, because the mean of its divisors is an integer number (89425).

2^2479360 is an apocalyptic number.

2479360 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 2479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219300).

2479360 is an abundant number, since it is smaller than the sum of its proper divisors (3959240).

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

2479360 is a wasteful number, since it uses less digits than its factorization.

2479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 2479360 is about 1574.5983614878. The cubic root of 2479360 is about 135.3463443424.

The spelling of 2479360 in words is "two million, four hundred seventy-nine thousand, three hundred sixty".