2002221000 has 384 divisors, whose sum is σ = 7401794400. Its totient is φ = 485222400.

The previous prime is 2002220999. The next prime is 2002221029. The reversal of 2002221000 is 1222002.

It can be written as a sum of positive squares in 16 ways, for example, as 323352324 + 1678868676 = 17982^2 + 40974^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12752922 + ... + 12753078.

Almost surely, 2^2002221000 is an apocalyptic number.

2002221000 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 2002221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700897200).

2002221000 is an abundant number, since it is smaller than the sum of its proper divisors (5399573400).

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

2002221000 is a wasteful number, since it uses less digits than its factorization.

2002221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2002221000 is about 44746.1841948562. The cubic root of 2002221000 is about 1260.3872581380.

Adding to 2002221000 its reverse (1222002), we get a palindrome (2003443002).

The spelling of 2002221000 in words is "two billion, two million, two hundred twenty-one thousand".