2917280 has 24 divisors (see below), whose sum is σ = 6892452. Its totient is φ = 1166848.

The previous prime is 2917261. The next prime is 2917289. The reversal of 2917280 is 827192.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2917264 + 16 = 1708^2 + 4^2 .

It is not an unprimeable number, because it can be changed into a prime (2917289) 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, 8957 + ... + 9276.

2^2917280 is an apocalyptic number.

2917280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2917280 is an abundant number, since it is smaller than the sum of its proper divisors (3975172).

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

2917280 is a wasteful number, since it uses less digits than its factorization.

2917280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18248 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 2917280 is about 1708.0046838343. The cubic root of 2917280 is about 142.8869956660.

The spelling of 2917280 in words is "two million, nine hundred seventeen thousand, two hundred eighty".