2201400 has 72 divisors (see below), whose sum is σ = 7399080. Its totient is φ = 586560.

The previous prime is 2201393. The next prime is 2201401. The reversal of 2201400 is 41022.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1189 + ... + 2411.

It is an arithmetic number, because the mean of its divisors is an integer number (102765).

2^2201400 is an apocalyptic number.

2201400 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 2201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699540).

2201400 is an abundant number, since it is smaller than the sum of its proper divisors (5197680).

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

2201400 is a wasteful number, since it uses less digits than its factorization.

2201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2201400 is about 1483.7115622654. The cubic root of 2201400 is about 130.0867271386.

Adding to 2201400 its reverse (41022), we get a palindrome (2242422).

It can be divided in two parts, 2201 and 400, that added together give a square (2601 = 51²).

The spelling of 2201400 in words is "two million, two hundred one thousand, four hundred".