2251405200 has 480 divisors, whose sum is σ = 8502312960. Its totient is φ = 503193600.

The previous prime is 2251405159. The next prime is 2251405201. The reversal of 2251405200 is 25041522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2251405201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17727537 + ... + 17727663.

It is an arithmetic number, because the mean of its divisors is an integer number (17713152).

Almost surely, 2^2251405200 is an apocalyptic number.

2251405200 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 2251405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251156480).

2251405200 is an abundant number, since it is smaller than the sum of its proper divisors (6250907760).

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

2251405200 is a wasteful number, since it uses less digits than its factorization.

2251405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2251405200 is about 47448.9746991439. The cubic root of 2251405200 is about 1310.6434303951.

Adding to 2251405200 its reverse (25041522), we get a palindrome (2276446722).

The spelling of 2251405200 in words is "two billion, two hundred fifty-one million, four hundred five thousand, two hundred".