2412140640 has 576 divisors, whose sum is σ = 9961491456. Its totient is φ = 486807552.

The previous prime is 2412140639. The next prime is 2412140669. The reversal of 2412140640 is 460412142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2412140640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104875669 + ... + 104875691.

It is an arithmetic number, because the mean of its divisors is an integer number (17294256).

Almost surely, 2^2412140640 is an apocalyptic number.

2412140640 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 2412140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980745728).

2412140640 is an abundant number, since it is smaller than the sum of its proper divisors (7549350816).

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

2412140640 is an equidigital number, since it uses as much as digits as its factorization.

2412140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2412140640 is about 49113.5484362513. The cubic root of 2412140640 is about 1341.1196997497.

Adding to 2412140640 its reverse (460412142), we get a palindrome (2872552782).

The spelling of 2412140640 in words is "two billion, four hundred twelve million, one hundred forty thousand, six hundred forty".