2052242000 has 80 divisors (see below), whose sum is σ = 5096621712. Its totient is φ = 798681600.

The previous prime is 2052241993. The next prime is 2052242021. The reversal of 2052242000 is 2422502.

It can be written as a sum of positive squares in 8 ways, for example, as 533425216 + 1518816784 = 23096^2 + 38972^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2052242000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60134 + ... + 87866.

Almost surely, 2^2052242000 is an apocalyptic number.

2052242000 is a gapful number since it is divisible by the number (20) 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 2052242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548310856).

2052242000 is an abundant number, since it is smaller than the sum of its proper divisors (3044379712).

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

2052242000 is a wasteful number, since it uses less digits than its factorization.

2052242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27793 (or 27777 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2052242000 is about 45301.6776731282. The cubic root of 2052242000 is about 1270.7970279574.

Adding to 2052242000 its reverse (2422502), we get a palindrome (2054664502).

The spelling of 2052242000 in words is "two billion, fifty-two million, two hundred forty-two thousand".