2996480 has 36 divisors (see below), whose sum is σ = 7180572. Its totient is φ = 1198080.

The previous prime is 2996479. The next prime is 2996489. The reversal of 2996480 is 846992.

It can be written as a sum of positive squares in 2 ways, for example, as 1517824 + 1478656 = 1232^2 + 1216^2 .

It is not an unprimeable number, because it can be changed into a prime (2996489) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110 + ... + 2450.

2^2996480 is an apocalyptic number.

2996480 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 2996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590286).

2996480 is an abundant number, since it is smaller than the sum of its proper divisors (4184092).

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

2996480 is an equidigital number, since it uses as much as digits as its factorization.

2996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2996480 is about 1731.0343728534. The cubic root of 2996480 is about 144.1685269714.

The spelling of 2996480 in words is "two million, nine hundred ninety-six thousand, four hundred eighty".