2128021000 has 192 divisors, whose sum is σ = 5853247920. Its totient is φ = 721996800.

The previous prime is 2128020977. The next prime is 2128021003. The reversal of 2128021000 is 1208212.

It can be written as a sum of positive squares in 8 ways, for example, as 5207524 + 2122813476 = 2282^2 + 46074^2 .

It is not an unprimeable number, because it can be changed into a prime (2128021003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6712842 + ... + 6713158.

Almost surely, 2^2128021000 is an apocalyptic number.

2128021000 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 2128021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926623960).

2128021000 is an abundant number, since it is smaller than the sum of its proper divisors (3725226920).

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

2128021000 is a wasteful number, since it uses less digits than its factorization.

2128021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2128021000 is about 46130.4779944886. The cubic root of 2128021000 is about 1286.2497493328.

Adding to 2128021000 its reverse (1208212), we get a palindrome (2129229212).

The spelling of 2128021000 in words is "two billion, one hundred twenty-eight million, twenty-one thousand".