2202402400 has 144 divisors (see below), whose sum is σ = 5922745920. Its totient is φ = 793049600.

The previous prime is 2202402379. The next prime is 2202402401. The reversal of 2202402400 is 42042022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202402401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940431 + ... + 942769.

It is an arithmetic number, because the mean of its divisors is an integer number (41130180).

Almost surely, 2^2202402400 is an apocalyptic number.

2202402400 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 2202402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961372960).

2202402400 is an abundant number, since it is smaller than the sum of its proper divisors (3720343520).

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

2202402400 is a wasteful number, since it uses less digits than its factorization.

2202402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2202402400 is about 46929.7602806577. The cubic root of 2202402400 is about 1301.0646899193.

Adding to 2202402400 its reverse (42042022), we get a palindrome (2244444422).

The spelling of 2202402400 in words is "two billion, two hundred two million, four hundred two thousand, four hundred".