2825610000 has 200 divisors, whose sum is σ = 9224972064. Its totient is φ = 744960000.

The previous prime is 2825609993. The next prime is 2825610019. The reversal of 2825610000 is 165282.

It is a tau number, because it is divible by the number of its divisors (200).

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2909515 + ... + 2910485.

Almost surely, 2^2825610000 is an apocalyptic number.

2825610000 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 2825610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612486032).

2825610000 is an abundant number, since it is smaller than the sum of its proper divisors (6399362064).

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

2825610000 is an equidigital number, since it uses as much as digits as its factorization.

2825610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2825610000 is about 53156.4671512319. The cubic root of 2825610000 is about 1413.7438856142.

Adding to 2825610000 its reverse (165282), we get a palindrome (2825775282).

The spelling of 2825610000 in words is "two billion, eight hundred twenty-five million, six hundred ten thousand".