2225352400 has 30 divisors (see below), whose sum is σ = 5346410102. Its totient is φ = 890140800.

The previous prime is 2225352397. The next prime is 2225352401. The reversal of 2225352400 is 42535222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13719616 + 2211632784 = 3704^2 + 47028^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225352401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2781291 + ... + 2782090.

Almost surely, 2^2225352400 is an apocalyptic number.

2225352400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225352400 is an abundant number, since it is smaller than the sum of its proper divisors (3121057702).

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

2225352400 is a wasteful number, since it uses less digits than its factorization.

2225352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563399 (or 5563388 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2225352400 is about 47173.6409449175. The cubic root of 2225352400 is about 1305.5683045148.

Adding to 2225352400 its reverse (42535222), we get a palindrome (2267887622).

The spelling of 2225352400 in words is "two billion, two hundred twenty-five million, three hundred fifty-two thousand, four hundred".