2825352400 has 240 divisors, whose sum is σ = 7997488128. Its totient is φ = 949248000.

The previous prime is 2825352391. The next prime is 2825352401. The reversal of 2825352400 is 42535282.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825352401) 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, 2739885 + ... + 2740915.

Almost surely, 2^2825352400 is an apocalyptic number.

2825352400 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 2825352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998744064).

2825352400 is an abundant number, since it is smaller than the sum of its proper divisors (5172135728).

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

2825352400 is a wasteful number, since it uses less digits than its factorization.

2825352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 2825352400 is about 53154.0440606357. The cubic root of 2825352400 is about 1413.7009224437.

Adding to 2825352400 its reverse (42535282), we get a palindrome (2867887682).

The spelling of 2825352400 in words is "two billion, eight hundred twenty-five million, three hundred fifty-two thousand, four hundred".