2825183200 has 216 divisors, whose sum is σ = 8116636752. Its totient is φ = 957358080.

The previous prime is 2825183197. The next prime is 2825183239. The reversal of 2825183200 is 23815282.

2825183200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2825183200² = 15963320227124480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3802029 + ... + 3802771.

It is an arithmetic number, because the mean of its divisors is an integer number (37577022).

Almost surely, 2^2825183200 is an apocalyptic number.

2825183200 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 2825183200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058318376).

2825183200 is an abundant number, since it is smaller than the sum of its proper divisors (5291453552).

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

2825183200 is a wasteful number, since it uses less digits than its factorization.

2825183200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2825183200 is about 53152.4524363646. The cubic root of 2825183200 is about 1413.6727014248.

Adding to 2825183200 its reverse (23815282), we get a palindrome (2848998482).

The spelling of 2825183200 in words is "two billion, eight hundred twenty-five million, one hundred eighty-three thousand, two hundred".