2209511952 has 80 divisors (see below), whose sum is σ = 6349236480. Its totient is φ = 735677568.

The previous prime is 2209511933. The next prime is 2209511959. The reversal of 2209511952 is 2591159022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2209511959) 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 15 ways as a sum of consecutive naturals, for example, 474178 + ... + 478814.

It is an arithmetic number, because the mean of its divisors is an integer number (79365456).

Almost surely, 2^2209511952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2209511952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174618240).

2209511952 is an abundant number, since it is smaller than the sum of its proper divisors (4139724528).

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

2209511952 is a wasteful number, since it uses less digits than its factorization.

2209511952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 2209511952 is about 47005.4459823540. The cubic root of 2209511952 is about 1302.4631705994.

The spelling of 2209511952 in words is "two billion, two hundred nine million, five hundred eleven thousand, nine hundred fifty-two".