2825042400 has 288 divisors, whose sum is σ = 10549324800. Its totient is φ = 728870400.

The previous prime is 2825042377. The next prime is 2825042401. The reversal of 2825042400 is 42405282.

It is a happy number.

2825042400 is a `hidden beast` number, since 2 + 8 + 250 + 4 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825042401) 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, 667491 + ... + 671709.

It is an arithmetic number, because the mean of its divisors is an integer number (36629600).

Almost surely, 2^2825042400 is an apocalyptic number.

2825042400 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 2825042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274662400).

2825042400 is an abundant number, since it is smaller than the sum of its proper divisors (7724282400).

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

2825042400 is a wasteful number, since it uses less digits than its factorization.

2825042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2825042400 is about 53151.1279278248. The cubic root of 2825042400 is about 1413.6492164081.

Adding to 2825042400 its reverse (42405282), we get a palindrome (2867447682).

The spelling of 2825042400 in words is "two billion, eight hundred twenty-five million, forty-two thousand, four hundred".