2434066128 has 120 divisors (see below), whose sum is σ = 7474724712. Its totient is φ = 734782464.

The previous prime is 2434066109. The next prime is 2434066139. The reversal of 2434066128 is 8216604342.

2434066128 is a `hidden beast` number, since 2 + 4 + 34 + 0 + 6 + 612 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 2433646224 = 648^2 + 49332^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2434066092 and 2434066101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86950 + ... + 111482.

Almost surely, 2^2434066128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434066128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737362356).

2434066128 is an abundant number, since it is smaller than the sum of its proper divisors (5040658584).

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

2434066128 is a wasteful number, since it uses less digits than its factorization.

2434066128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24613 (or 24604 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2434066128 is about 49336.2557152445. The cubic root of 2434066128 is about 1345.1708812153.

The spelling of 2434066128 in words is "two billion, four hundred thirty-four million, sixty-six thousand, one hundred twenty-eight".