2852400 has 60 divisors (see below), whose sum is σ = 9141032. Its totient is φ = 760320.

The previous prime is 2852389. The next prime is 2852401. The reversal of 2852400 is 42582.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (2852401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12 + ... + 2388.

2^2852400 is an apocalyptic number.

2852400 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 2852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570516).

2852400 is an abundant number, since it is smaller than the sum of its proper divisors (6288632).

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

2852400 is a wasteful number, since it uses less digits than its factorization.

2852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2852400 is about 1688.9049706837. The cubic root of 2852400 is about 141.8197806287.

Adding to 2852400 its reverse (42582), we get a palindrome (2894982).

The spelling of 2852400 in words is "two million, eight hundred fifty-two thousand, four hundred".