2413840 has 80 divisors (see below), whose sum is σ = 6624576. Its totient is φ = 806400.

The previous prime is 2413823. The next prime is 2413849. The reversal of 2413840 is 483142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2413840³ = 42193610937933312000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2413849) 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, 11335 + ... + 11545.

2^2413840 is an apocalyptic number.

2413840 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 2413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312288).

2413840 is an abundant number, since it is smaller than the sum of its proper divisors (4210736).

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

2413840 is a wasteful number, since it uses less digits than its factorization.

2413840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2413840 is about 1553.6537580813. The cubic root of 2413840 is about 134.1434566711.

Adding to 2413840 its reverse (483142), we get a palindrome (2896982).

The spelling of 2413840 in words is "two million, four hundred thirteen thousand, eight hundred forty".