2201625600 has 264 divisors, whose sum is σ = 7371165120. Its totient is φ = 579502080.

The previous prime is 2201625599. The next prime is 2201625607. The reversal of 2201625600 is 65261022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201625607) 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, 8371069 + ... + 8371331.

It is an arithmetic number, because the mean of its divisors is an integer number (27921080).

Almost surely, 2^2201625600 is an apocalyptic number.

2201625600 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 2201625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685582560).

2201625600 is an abundant number, since it is smaller than the sum of its proper divisors (5169539520).

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

2201625600 is a wasteful number, since it uses less digits than its factorization.

2201625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2201625600 is about 46921.4833525114. The cubic root of 2201625600 is about 1300.9117075977.

Adding to 2201625600 its reverse (65261022), we get a palindrome (2266886622).

The spelling of 2201625600 in words is "two billion, two hundred one million, six hundred twenty-five thousand, six hundred".