2019952 has 40 divisors (see below), whose sum is σ = 4464000. Its totient is φ = 876480.

The previous prime is 2019931. The next prime is 2019959. The reversal of 2019952 is 2599102.

It is a self number, because there is not a number n which added to its sum of digits gives 2019952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2019959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3799 + ... + 4297.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

2^2019952 is an apocalyptic number.

2019952 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 2019952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232000).

2019952 is an abundant number, since it is smaller than the sum of its proper divisors (2444048).

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

2019952 is a wasteful number, since it uses less digits than its factorization.

2019952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 2019952 is about 1421.2501539138. The cubic root of 2019952 is about 126.4096852056.

It can be divided in two parts, 201 and 9952, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 2019952 in words is "two million, nineteen thousand, nine hundred fifty-two".