2251200 has 168 divisors, whose sum is σ = 8566912. Its totient is φ = 506880.

The previous prime is 2251199. The next prime is 2251201. The reversal of 2251200 is 21522.

It is an interprime number because it is at equal distance from previous prime (2251199) and next prime (2251201).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251201) 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, 33567 + ... + 33633.

2^2251200 is an apocalyptic number.

2251200 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 2251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283456).

2251200 is an abundant number, since it is smaller than the sum of its proper divisors (6315712).

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

2251200 is a wasteful number, since it uses less digits than its factorization.

2251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2251200 is about 1500.3999466809. The cubic root of 2251200 is about 131.0603610493.

2251200 divided by its product of nonzero digits (40) gives a triangular number (56280 = T₃₃₅).

Adding to 2251200 its reverse (21522), we get a palindrome (2272722).

The spelling of 2251200 in words is "two million, two hundred fifty-one thousand, two hundred".