2210033952 has 144 divisors (see below), whose sum is σ = 7204317120. Its totient is φ = 629531136.

The previous prime is 2210033941. The next prime is 2210033971. The reversal of 2210033952 is 2593300122.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 750499 + ... + 753437.

It is an arithmetic number, because the mean of its divisors is an integer number (50029980).

Almost surely, 2^2210033952 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 2210033952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602158560).

2210033952 is an abundant number, since it is smaller than the sum of its proper divisors (4994283168).

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

2210033952 is a wasteful number, since it uses less digits than its factorization.

2210033952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2210033952 is about 47010.9982025483. The cubic root of 2210033952 is about 1302.5657320482.

The spelling of 2210033952 in words is "two billion, two hundred ten million, thirty-three thousand, nine hundred fifty-two".