2014221000 has 256 divisors, whose sum is σ = 6965637120. Its totient is φ = 480480000.

The previous prime is 2014220993. The next prime is 2014221019. The reversal of 2014221000 is 1224102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2210545 + ... + 2211455.

It is an arithmetic number, because the mean of its divisors is an integer number (27209520).

Almost surely, 2^2014221000 is an apocalyptic number.

2014221000 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 2014221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482818560).

2014221000 is an abundant number, since it is smaller than the sum of its proper divisors (4951416120).

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

2014221000 is a wasteful number, since it uses less digits than its factorization.

2014221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2014221000 is about 44880.0735293515. The cubic root of 2014221000 is about 1262.9002227517.

Adding to 2014221000 its reverse (1224102), we get a palindrome (2015445102).

The spelling of 2014221000 in words is "two billion, fourteen million, two hundred twenty-one thousand".