2189952 has 48 divisors (see below), whose sum is σ = 6305130. Its totient is φ = 729600.

The previous prime is 2189939. The next prime is 2189981. The reversal of 2189952 is 2599812.

It can be written as a sum of positive squares in only one way, i.e., 2143296 + 46656 = 1464^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁷ + 1 + 8⁵ + 9³ + 9⁵ + 5³ + 2²¹ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 202 + ... + 2102.

2^2189952 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 2189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152565).

2189952 is an abundant number, since it is smaller than the sum of its proper divisors (4115178).

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

2189952 is a wasteful number, since it uses less digits than its factorization.

2189952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1906 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 2189952 is about 1479.8486409089. The cubic root of 2189952 is about 129.8608372752.

The spelling of 2189952 in words is "two million, one hundred eighty-nine thousand, nine hundred fifty-two".