2302400 has 42 divisors (see below), whose sum is σ = 5669280. Its totient is φ = 920320.

The previous prime is 2302387. The next prime is 2302403. The reversal of 2302400 is 42032.

2302400 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 881 + ... + 2319.

2^2302400 is an apocalyptic number.

2302400 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 2302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834640).

2302400 is an abundant number, since it is smaller than the sum of its proper divisors (3366880).

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

2302400 is a wasteful number, since it uses less digits than its factorization.

2302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2302400 is about 1517.3661390713. The cubic root of 2302400 is about 132.0465094754.

Adding to 2302400 its reverse (42032), we get a palindrome (2344432).

The spelling of 2302400 in words is "two million, three hundred two thousand, four hundred".