2201251800 has 384 divisors, whose sum is σ = 8234472960. Its totient is φ = 479846400.

The previous prime is 2201251781. The next prime is 2201251807. The reversal of 2201251800 is 81521022.

It is a happy number.

2201251800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201251807) 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, 2580174 + ... + 2581026.

It is an arithmetic number, because the mean of its divisors is an integer number (21443940).

Almost surely, 2^2201251800 is an apocalyptic number.

2201251800 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 2201251800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117236480).

2201251800 is an abundant number, since it is smaller than the sum of its proper divisors (6033221160).

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

2201251800 is a wasteful number, since it uses less digits than its factorization.

2201251800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2201251800 is about 46917.4999333937. The cubic root of 2201251800 is about 1300.8380789238.

Adding to 2201251800 its reverse (81521022), we get a palindrome (2282772822).

The spelling of 2201251800 in words is "two billion, two hundred one million, two hundred fifty-one thousand, eight hundred".