2010429828 has 96 divisors (see below), whose sum is σ = 5700240000. Its totient is φ = 607703040.

The previous prime is 2010429791. The next prime is 2010429829. The reversal of 2010429828 is 8289240102.

2010429828 is a `hidden beast` number, since 201 + 0 + 429 + 8 + 28 = 666.

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 = 2010429792 and 2010429801.

It is not an unprimeable number, because it can be changed into a prime (2010429829) 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 31 ways as a sum of consecutive naturals, for example, 531528 + ... + 535296.

It is an arithmetic number, because the mean of its divisors is an integer number (59377500).

Almost surely, 2^2010429828 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 2010429828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850120000).

2010429828 is an abundant number, since it is smaller than the sum of its proper divisors (3689810172).

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

2010429828 is a wasteful number, since it uses less digits than its factorization.

2010429828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2010429828 is about 44837.8169406139. The cubic root of 2010429828 is about 1262.1073804198.

The spelling of 2010429828 in words is "two billion, ten million, four hundred twenty-nine thousand, eight hundred twenty-eight".