2412131440 has 120 divisors (see below), whose sum is σ = 5999749920. Its totient is φ = 900168192.

The previous prime is 2412131429. The next prime is 2412131441. The reversal of 2412131440 is 441312142.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412131441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3401806 + ... + 3402514.

It is an arithmetic number, because the mean of its divisors is an integer number (49997916).

Almost surely, 2^2412131440 is an apocalyptic number.

2412131440 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 2412131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999874960).

2412131440 is an abundant number, since it is smaller than the sum of its proper divisors (3587618480).

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

2412131440 is a wasteful number, since it uses less digits than its factorization.

2412131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 782 counting only the distinct ones).

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

The square root of 2412131440 is about 49113.4547756519. The cubic root of 2412131440 is about 1341.1179947196.

Adding to 2412131440 its reverse (441312142), we get a palindrome (2853443582).

The spelling of 2412131440 in words is "two billion, four hundred twelve million, one hundred thirty-one thousand, four hundred forty".