2825236800 has 336 divisors, whose sum is σ = 10907694720. Its totient is φ = 708894720.

The previous prime is 2825236769. The next prime is 2825236807. The reversal of 2825236800 is 86325282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825236807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732477 + ... + 736323.

Almost surely, 2^2825236800 is an apocalyptic number.

2825236800 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 2825236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453847360).

2825236800 is an abundant number, since it is smaller than the sum of its proper divisors (8082457920).

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

2825236800 is a wasteful number, since it uses less digits than its factorization.

2825236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2825236800 is about 53152.9566440099. The cubic root of 2825236800 is about 1413.6816415385.

The spelling of 2825236800 in words is "two billion, eight hundred twenty-five million, two hundred thirty-six thousand, eight hundred".