2550400 has 48 divisors (see below), whose sum is σ = 6308190. Its totient is φ = 1018880.

The previous prime is 2550367. The next prime is 2550403. The reversal of 2550400 is 40552.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1871424 + 678976 = 1368^2 + 824^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2550403) 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, 2802 + ... + 3598.

2^2550400 is an apocalyptic number.

2550400 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 2550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154095).

2550400 is an abundant number, since it is smaller than the sum of its proper divisors (3757790).

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

2550400 is an equidigital number, since it uses as much as digits as its factorization.

2550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2550400 is about 1596.9971822142. The cubic root of 2550400 is about 136.6268639461.

Adding to 2550400 its reverse (40552), we get a palindrome (2590952).

The spelling of 2550400 in words is "two million, five hundred fifty thousand, four hundred".