2220409920 has 336 divisors, whose sum is σ = 7664500800. Its totient is φ = 544223232.

The previous prime is 2220409883. The next prime is 2220409921. The reversal of 2220409920 is 299040222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220409921) 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, 14902006 + ... + 14902154.

Almost surely, 2^2220409920 is an apocalyptic number.

2220409920 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 2220409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832250400).

2220409920 is an abundant number, since it is smaller than the sum of its proper divisors (5444090880).

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

2220409920 is a wasteful number, since it uses less digits than its factorization.

2220409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2220409920 is about 47121.2257905076. The cubic root of 2220409920 is about 1304.6010377435.

The spelling of 2220409920 in words is "two billion, two hundred twenty million, four hundred nine thousand, nine hundred twenty".