2451200 has 54 divisors (see below), whose sum is σ = 6082944. Its totient is φ = 977920.

The previous prime is 2451151. The next prime is 2451203. The reversal of 2451200 is 21542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6209 + ... + 6591.

2^2451200 is an apocalyptic number.

2451200 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 2451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041472).

2451200 is an abundant number, since it is smaller than the sum of its proper divisors (3631744).

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

2451200 is an equidigital number, since it uses as much as digits as its factorization.

2451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2451200 is about 1565.6308632625. The cubic root of 2451200 is about 134.8319811882.

Adding to 2451200 its reverse (21542), we get a palindrome (2472742).

The spelling of 2451200 in words is "two million, four hundred fifty-one thousand, two hundred".