2434534608780 has 144 divisors (see below), whose sum is σ = 7590678207840. Its totient is φ = 631322904576.

The previous prime is 2434534608719. The next prime is 2434534608799. The reversal of 2434534608780 is 878064354342.

2434534608780 is a `hidden beast` number, since 2 + 4 + 34 + 534 + 6 + 0 + 8 + 78 + 0 = 666.

It is a super-2 number, since 2×2434534608780² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51150 + ... + 2207189.

It is an arithmetic number, because the mean of its divisors is an integer number (52713043110).

Almost surely, 2^{2434534608780} is an apocalyptic number.

2434534608780 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 2434534608780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795339103920).

2434534608780 is an abundant number, since it is smaller than the sum of its proper divisors (5156143599060).

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

2434534608780 is a wasteful number, since it uses less digits than its factorization.

2434534608780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258520 (or 2258515 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 2434534608780 in words is "two trillion, four hundred thirty-four billion, five hundred thirty-four million, six hundred eight thousand, seven hundred eighty".