2412640 has 48 divisors (see below), whose sum is σ = 6041952. Its totient is φ = 907264.

The previous prime is 2412629. The next prime is 2412643. The reversal of 2412640 is 462142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412643) 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, 2277 + ... + 3163.

It is an arithmetic number, because the mean of its divisors is an integer number (125874).

2^2412640 is an apocalyptic number.

2412640 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 2412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020976).

2412640 is an abundant number, since it is smaller than the sum of its proper divisors (3629312).

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

2412640 is a wasteful number, since it uses less digits than its factorization.

2412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2412640 is about 1553.2675236417. The cubic root of 2412640 is about 134.1212239313.

Adding to 2412640 its reverse (462142), we get a palindrome (2874782).

The spelling of 2412640 in words is "two million, four hundred twelve thousand, six hundred forty".