2417680 has 40 divisors (see below), whose sum is σ = 5749632. Its totient is φ = 945024.

The previous prime is 2417671. The next prime is 2417683. The reversal of 2417680 is 867142.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2417683) by changing a digit.

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, 3439 + ... + 4081.

2^2417680 is an apocalyptic number.

2417680 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 2417680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874816).

2417680 is an abundant number, since it is smaller than the sum of its proper divisors (3331952).

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

2417680 is a wasteful number, since it uses less digits than its factorization.

2417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2417680 is about 1554.8890635669. The cubic root of 2417680 is about 134.2145519611.

It can be divided in two parts, 241 and 7680, that added together give a square (7921 = 89²).

The spelling of 2417680 in words is "two million, four hundred seventeen thousand, six hundred eighty".