2052547200 has 864 divisors, whose sum is σ = 8747356800. Its totient is φ = 456192000.

The previous prime is 2052547187. The next prime is 2052547243. The reversal of 2052547200 is 27452502.

2052547200 is a `hidden beast` number, since 205 + 254 + 7 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 66211185 + ... + 66211215.

Almost surely, 2^2052547200 is an apocalyptic number.

2052547200 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 2052547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373678400).

2052547200 is an abundant number, since it is smaller than the sum of its proper divisors (6694809600).

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

2052547200 is a wasteful number, since it uses less digits than its factorization.

2052547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2052547200 is about 45305.0460765686. The cubic root of 2052547200 is about 1270.8600205331.

Adding to 2052547200 its reverse (27452502), we get a palindrome (2079999702).

The spelling of 2052547200 in words is "two billion, fifty-two million, five hundred forty-seven thousand, two hundred".