2052412200 has 144 divisors (see below), whose sum is σ = 7079202780. Its totient is φ = 532500480.

The previous prime is 2052412183. The next prime is 2052412211. The reversal of 2052412200 is 22142502.

2052412200 is a `hidden beast` number, since 2 + 0 + 52 + 412 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 614940804 + 1437471396 = 24798^2 + 37914^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51192 + ... + 82008.

Almost surely, 2^2052412200 is an apocalyptic number.

2052412200 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 2052412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539601390).

2052412200 is an abundant number, since it is smaller than the sum of its proper divisors (5026790580).

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

2052412200 is a wasteful number, since it uses less digits than its factorization.

2052412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30876 (or 30864 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2052412200 is about 45303.5561518078. The cubic root of 2052412200 is about 1270.8321576148.

Adding to 2052412200 its reverse (22142502), we get a palindrome (2074554702).

The spelling of 2052412200 in words is "two billion, fifty-two million, four hundred twelve thousand, two hundred".