2852800 has 42 divisors (see below), whose sum is σ = 7023608. Its totient is φ = 1140480.

The previous prime is 2852797. The next prime is 2852807. The reversal of 2852800 is 82582.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852807) 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, 709 + ... + 2491.

2^2852800 is an apocalyptic number.

2852800 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 2852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511804).

2852800 is an abundant number, since it is smaller than the sum of its proper divisors (4170808).

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

2852800 is a wasteful number, since it uses less digits than its factorization.

2852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 2852800 is about 1689.0233864574. The cubic root of 2852800 is about 141.8264095798.

The spelling of 2852800 in words is "two million, eight hundred fifty-two thousand, eight hundred".