2413920 has 96 divisors (see below), whose sum is σ = 7838208. Its totient is φ = 624128.

The previous prime is 2413913. The next prime is 2413921. The reversal of 2413920 is 293142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413921) 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, 22507 + ... + 22613.

It is an arithmetic number, because the mean of its divisors is an integer number (81648).

2^2413920 is an apocalyptic number.

2413920 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 2413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104).

2413920 is an abundant number, since it is smaller than the sum of its proper divisors (5424288).

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

2413920 is a wasteful number, since it uses less digits than its factorization.

2413920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2413920 is about 1553.6795036300. The cubic root of 2413920 is about 134.1449385918.

It can be divided in two parts, 2413 and 920, that added together give a palindrome (3333).

The spelling of 2413920 in words is "two million, four hundred thirteen thousand, nine hundred twenty".