2200200480 has 144 divisors (see below), whose sum is σ = 7536110400. Its totient is φ = 584538624.

The previous prime is 2200200473. The next prime is 2200200487. The reversal of 2200200480 is 840020022.

It is an interprime number because it is at equal distance from previous prime (2200200473) and next prime (2200200487).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2200200487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404821 + ... + 410219.

It is an arithmetic number, because the mean of its divisors is an integer number (52334100).

Almost surely, 2^2200200480 is an apocalyptic number.

2200200480 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 2200200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768055200).

2200200480 is an abundant number, since it is smaller than the sum of its proper divisors (5335909920).

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

2200200480 is a wasteful number, since it uses less digits than its factorization.

2200200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2200200480 is about 46906.2946735297. The cubic root of 2200200480 is about 1300.6309521019.

The spelling of 2200200480 in words is "two billion, two hundred million, two hundred thousand, four hundred eighty".