2005221120 has 216 divisors, whose sum is σ = 7450453584. Its totient is φ = 458293248.

The previous prime is 2005221109. The next prime is 2005221131. The reversal of 2005221120 is 211225002.

It is an interprime number because it is at equal distance from previous prime (2005221109) and next prime (2005221131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2005221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182832 + ... + 193488.

Almost surely, 2^2005221120 is an apocalyptic number.

2005221120 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 2005221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725226792).

2005221120 is an abundant number, since it is smaller than the sum of its proper divisors (5445232464).

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

2005221120 is a wasteful number, since it uses less digits than its factorization.

2005221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2005221120 is about 44779.6953986960. The cubic root of 2005221120 is about 1261.0164637313.

Adding to 2005221120 its reverse (211225002), we get a palindrome (2216446122).

The spelling of 2005221120 in words is "two billion, five million, two hundred twenty-one thousand, one hundred twenty".