2201288400 has 210 divisors, whose sum is σ = 7930316150. Its totient is φ = 586932480.

The previous prime is 2201288363. The next prime is 2201288437. The reversal of 2201288400 is 48821022.

2201288400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2201288363) and next prime (2201288437).

It can be written as a sum of positive squares in 3 ways, for example, as 390615696 + 1810672704 = 19764^2 + 42552^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 287826 + ... + 295374.

Almost surely, 2^2201288400 is an apocalyptic number.

2201288400 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 2201288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965158075).

2201288400 is an abundant number, since it is smaller than the sum of its proper divisors (5729027750).

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

2201288400 is an equidigital number, since it uses as much as digits as its factorization.

2201288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2201288400 is about 46917.8899781309. The cubic root of 2201288400 is about 1300.8452885200.

The spelling of 2201288400 in words is "two billion, two hundred one million, two hundred eighty-eight thousand, four hundred".