2052052800 has 336 divisors, whose sum is σ = 7763134080. Its totient is φ = 464855040.

The previous prime is 2052052757. The next prime is 2052052811. The reversal of 2052052800 is 82502502.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5275006 + ... + 5275394.

Almost surely, 2^2052052800 is an apocalyptic number.

2052052800 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 2052052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881567040).

2052052800 is an abundant number, since it is smaller than the sum of its proper divisors (5711081280).

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

2052052800 is a wasteful number, since it uses less digits than its factorization.

2052052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2052052800 is about 45299.5894021127. The cubic root of 2052052800 is about 1270.7579743782.

The spelling of 2052052800 in words is "two billion, fifty-two million, fifty-two thousand, eight hundred".