2434442140320 has 96 divisors (see below), whose sum is σ = 7669599291648. Its totient is φ = 649090894848.

The previous prime is 2434442140309. The next prime is 2434442140321. The reversal of 2434442140320 is 230412444342.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2434442140321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2996137 + ... + 3720983.

It is an arithmetic number, because the mean of its divisors is an integer number (79891659288).

Almost surely, 2^{2434442140320} is an apocalyptic number.

2434442140320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434442140320 is an abundant number, since it is smaller than the sum of its proper divisors (5235157151328).

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

2434442140320 is a wasteful number, since it uses less digits than its factorization.

2434442140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731862 (or 731854 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2434442140320 its reverse (230412444342), we get a palindrome (2664854584662).

The spelling of 2434442140320 in words is "two trillion, four hundred thirty-four billion, four hundred forty-two million, one hundred forty thousand, three hundred twenty".