2551200 has 72 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 679680.

The previous prime is 2551177. The next prime is 2551223. The reversal of 2551200 is 21552.

2551200 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 (2551177) and next prime (2551223).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2551200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1869 + ... + 2931.

It is an arithmetic number, because the mean of its divisors is an integer number (115444).

2^2551200 is an apocalyptic number.

2551200 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 2551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

2551200 is an abundant number, since it is smaller than the sum of its proper divisors (5760768).

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

2551200 is a wasteful number, since it uses less digits than its factorization.

2551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2551200 is about 1597.2476326481. The cubic root of 2551200 is about 136.6411479884.

Adding to 2551200 its reverse (21552), we get a palindrome (2572752).

The spelling of 2551200 in words is "two million, five hundred fifty-one thousand, two hundred".