2209006080 has 480 divisors, whose sum is σ = 8204099904. Its totient is φ = 569327616.

The previous prime is 2209006069. The next prime is 2209006081. The reversal of 2209006080 is 806009022.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2209006080² = 9759415722953932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2209006081) 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, 32970207 + ... + 32970273.

Almost surely, 2^2209006080 is an apocalyptic number.

2209006080 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 2209006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102049952).

2209006080 is an abundant number, since it is smaller than the sum of its proper divisors (5995093824).

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

2209006080 is an frugal number, since it uses more digits than its factorization.

2209006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2209006080 is about 47000.0646808066. The cubic root of 2209006080 is about 1302.3637625319.

The spelling of 2209006080 in words is "two billion, two hundred nine million, six thousand, eighty".