2052800 has 42 divisors (see below), whose sum is σ = 5055108. Its totient is φ = 820480.

The previous prime is 2052793. The next prime is 2052803. The reversal of 2052800 is 82502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2052803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 959 + ... + 2241.

2^2052800 is an apocalyptic number.

2052800 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 2052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527554).

2052800 is an abundant number, since it is smaller than the sum of its proper divisors (3002308).

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

2052800 is a wasteful number, since it uses less digits than its factorization.

2052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2052800 is about 1432.7595750858. The cubic root of 2052800 is about 127.0912193142.

The spelling of 2052800 in words is "two million, fifty-two thousand, eight hundred".