2434564145640 has 192 divisors, whose sum is σ = 8031462828480. Its totient is φ = 589944678400.

The previous prime is 2434564145623. The next prime is 2434564145641. The reversal of 2434564145640 is 465414654342.

2434564145640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2434564145640.

It is not an unprimeable number, because it can be changed into a prime (2434564145641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35060155 + ... + 35129525.

It is an arithmetic number, because the mean of its divisors is an integer number (41830535565).

Almost surely, 2^{2434564145640} is an apocalyptic number.

2434564145640 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 2434564145640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015731414240).

2434564145640 is an abundant number, since it is smaller than the sum of its proper divisors (5596898682840).

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

2434564145640 is a wasteful number, since it uses less digits than its factorization.

2434564145640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71824 (or 71809 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

Adding to 2434564145640 its reverse (465414654342), we get a palindrome (2899978799982).

The spelling of 2434564145640 in words is "two trillion, four hundred thirty-four billion, five hundred sixty-four million, one hundred forty-five thousand, six hundred forty".