2000906928 has 160 divisors (see below), whose sum is σ = 5926495680. Its totient is φ = 645949440.

The previous prime is 2000906923. The next prime is 2000906951. The reversal of 2000906928 is 8296090002.

2000906928 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 2000906892 and 2000906901.

It is not an unprimeable number, because it can be changed into a prime (2000906923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3063850 + ... + 3064502.

It is an arithmetic number, because the mean of its divisors is an integer number (37040598).

Almost surely, 2^2000906928 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 2000906928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963247840).

2000906928 is an abundant number, since it is smaller than the sum of its proper divisors (3925588752).

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

2000906928 is a wasteful number, since it uses less digits than its factorization.

2000906928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2000906928 is about 44731.4981640454. The cubic root of 2000906928 is about 1260.1114640621. Note that the first 3 decimals are identical.

The spelling of 2000906928 in words is "two billion, nine hundred six thousand, nine hundred twenty-eight".