2417904 has 80 divisors (see below), whose sum is σ = 7216800. Its totient is φ = 774144.

The previous prime is 2417903. The next prime is 2417911. The reversal of 2417904 is 4097142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2417903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12432 + ... + 12624.

It is an arithmetic number, because the mean of its divisors is an integer number (90210).

2^2417904 is an apocalyptic number.

2417904 is a gapful number since it is divisible by the number (24) 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 2417904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608400).

2417904 is an abundant number, since it is smaller than the sum of its proper divisors (4798896).

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

2417904 is a wasteful number, since it uses less digits than its factorization.

2417904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2417904 is about 1554.9610927608. The cubic root of 2417904 is about 134.2186968619.

It can be divided in two parts, 2417 and 904, that added together give a triangular number (3321 = T₈₁).

The spelling of 2417904 in words is "two million, four hundred seventeen thousand, nine hundred four".