2034529128 has 96 divisors (see below), whose sum is σ = 5850678600. Its totient is φ = 636493824.

The previous prime is 2034529121. The next prime is 2034529151. The reversal of 2034529128 is 8219254302.

It is a happy number.

2034529128 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 529 + 128 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1561988484 + 472540644 = 39522^2 + 21738^2 .

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 = 2034529092 and 2034529101.

It is not an unprimeable number, because it can be changed into a prime (2034529121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474000 + ... + 478272.

Almost surely, 2^2034529128 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 2034529128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925339300).

2034529128 is an abundant number, since it is smaller than the sum of its proper divisors (3816149472).

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

2034529128 is a wasteful number, since it uses less digits than its factorization.

2034529128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2034529128 is about 45105.7549321592. The cubic root of 2034529128 is about 1267.1303815872.

The spelling of 2034529128 in words is "two billion, thirty-four million, five hundred twenty-nine thousand, one hundred twenty-eight".