2417920 has 36 divisors (see below), whose sum is σ = 5794740. Its totient is φ = 966656.

The previous prime is 2417917. The next prime is 2417923. The reversal of 2417920 is 297142.

It is an interprime number because it is at equal distance from previous prime (2417917) and next prime (2417923).

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 1401856 = 1008^2 + 1184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2417923) 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 3 ways as a sum of consecutive naturals, for example, 336 + ... + 2224.

It is an arithmetic number, because the mean of its divisors is an integer number (160965).

2^2417920 is an apocalyptic number.

2417920 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 2417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897370).

2417920 is an abundant number, since it is smaller than the sum of its proper divisors (3376820).

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

2417920 is an equidigital number, since it uses as much as digits as its factorization.

2417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2417920 is about 1554.9662375756. The cubic root of 2417920 is about 134.2189929164.

The spelling of 2417920 in words is "two million, four hundred seventeen thousand, nine hundred twenty".