2052439200 has 432 divisors, whose sum is σ = 8353590336. Its totient is φ = 464486400.

The previous prime is 2052439171. The next prime is 2052439217. The reversal of 2052439200 is 29342502.

2052439200 is a `hidden beast` number, since 20 + 5 + 2 + 439 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9727095 + ... + 9727305.

Almost surely, 2^2052439200 is an apocalyptic number.

2052439200 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 2052439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176795168).

2052439200 is an abundant number, since it is smaller than the sum of its proper divisors (6301151136).

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

2052439200 is a wasteful number, since it uses less digits than its factorization.

2052439200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2052439200 is about 45303.8541406799. The cubic root of 2052439200 is about 1270.8377302962.

The spelling of 2052439200 in words is "two billion, fifty-two million, four hundred thirty-nine thousand, two hundred".