2412134340 has 384 divisors, whose sum is σ = 8795824128. Its totient is φ = 479416320.

The previous prime is 2412134339. The next prime is 2412134353. The reversal of 2412134340 is 434312142.

It is a self number, because there is not a number n which added to its sum of digits gives 2412134340.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17606752 + ... + 17606888.

It is an arithmetic number, because the mean of its divisors is an integer number (22905792).

Almost surely, 2^2412134340 is an apocalyptic number.

2412134340 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 2412134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397912064).

2412134340 is an abundant number, since it is smaller than the sum of its proper divisors (6383689788).

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

2412134340 is a wasteful number, since it uses less digits than its factorization.

2412134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2412134340 is about 49113.4842991209. The cubic root of 2412134340 is about 1341.1185321752.

Adding to 2412134340 its reverse (434312142), we get a palindrome (2846446482).

The spelling of 2412134340 in words is "two billion, four hundred twelve million, one hundred thirty-four thousand, three hundred forty".