2052808800 has 288 divisors, whose sum is σ = 7748504064. Its totient is φ = 462336000.

The previous prime is 2052808799. The next prime is 2052808829. The reversal of 2052808800 is 88082502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1191940 + ... + 1193660.

It is an arithmetic number, because the mean of its divisors is an integer number (26904528).

Almost surely, 2^2052808800 is an apocalyptic number.

2052808800 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 2052808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874252032).

2052808800 is an abundant number, since it is smaller than the sum of its proper divisors (5695695264).

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

2052808800 is a wasteful number, since it uses less digits than its factorization.

2052808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 2052808800 is about 45307.9330802013. The cubic root of 2052808800 is about 1270.9140091995.

The spelling of 2052808800 in words is "two billion, fifty-two million, eight hundred eight thousand, eight hundred".