2209125072 has 240 divisors, whose sum is σ = 7284978176. Its totient is φ = 564537600.

The previous prime is 2209125049. The next prime is 2209125073. The reversal of 2209125072 is 2705219022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2209125073) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2723547 + ... + 2724357.

Almost surely, 2^2209125072 is an apocalyptic number.

2209125072 is a gapful number since it is divisible by the number (22) 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 2209125072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642489088).

2209125072 is an abundant number, since it is smaller than the sum of its proper divisors (5075853104).

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

2209125072 is a wasteful number, since it uses less digits than its factorization.

2209125072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2209125072 is about 47001.3305343583. The cubic root of 2209125072 is about 1302.3871468174.

The spelling of 2209125072 in words is "two billion, two hundred nine million, one hundred twenty-five thousand, seventy-two".