2417280 has 64 divisors (see below), whose sum is σ = 7711200. Its totient is φ = 644096.

The previous prime is 2417279. The next prime is 2417291. The reversal of 2417280 is 827142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2417280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1291 + ... + 2549.

2^2417280 is an apocalyptic number.

2417280 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 2417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855600).

2417280 is an abundant number, since it is smaller than the sum of its proper divisors (5293920).

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

2417280 is a wasteful number, since it uses less digits than its factorization.

2417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2417280 is about 1554.7604317064. The cubic root of 2417280 is about 134.2071497157.

The spelling of 2417280 in words is "two million, four hundred seventeen thousand, two hundred eighty".