2225361600 has 840 divisors, whose sum is σ = 10244011008. Its totient is φ = 460339200.

The previous prime is 2225361581. The next prime is 2225361617. The reversal of 2225361600 is 61635222.

2225361600 is a `hidden beast` number, since 2 + 2 + 2 + 53 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9979089 + ... + 9979311.

Almost surely, 2^2225361600 is an apocalyptic number.

2225361600 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 2225361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122005504).

2225361600 is an abundant number, since it is smaller than the sum of its proper divisors (8018649408).

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

2225361600 is a wasteful number, since it uses less digits than its factorization.

2225361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2225361600 is about 47173.7384568999. The cubic root of 2225361600 is about 1305.5701036623.

Adding to 2225361600 its reverse (61635222), we get a palindrome (2286996822).

The spelling of 2225361600 in words is "two billion, two hundred twenty-five million, three hundred sixty-one thousand, six hundred".