2825020800 has 672 divisors, whose sum is σ = 12027109680. Its totient is φ = 641986560.

The previous prime is 2825020789. The next prime is 2825020817. The reversal of 2825020800 is 80205282.

2825020800 is a `hidden beast` number, since 2 + 82 + 502 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16329514 + ... + 16329686.

Almost surely, 2^2825020800 is an apocalyptic number.

2825020800 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 2825020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013554840).

2825020800 is an abundant number, since it is smaller than the sum of its proper divisors (9202088880).

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

2825020800 is an equidigital number, since it uses as much as digits as its factorization.

2825020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2825020800 is about 53150.9247332537. The cubic root of 2825020800 is about 1413.6456135241.

The spelling of 2825020800 in words is "two billion, eight hundred twenty-five million, twenty thousand, eight hundred".