2479680 has 224 divisors, whose sum is σ = 10241280. Its totient is φ = 552960.

The previous prime is 2479679. The next prime is 2479691. The reversal of 2479680 is 869742.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2479680² = 12297625804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60460 + ... + 60500.

It is an arithmetic number, because the mean of its divisors is an integer number (45720).

2^2479680 is an apocalyptic number.

2479680 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 2479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

2479680 is an abundant number, since it is smaller than the sum of its proper divisors (7761600).

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

2479680 is a wasteful number, since it uses less digits than its factorization.

2479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2479680 is about 1574.6999714231. The cubic root of 2479680 is about 135.3521669427.

The spelling of 2479680 in words is "two million, four hundred seventy-nine thousand, six hundred eighty".