2550624 has 36 divisors (see below), whose sum is σ = 6736716. Its totient is φ = 844992.

The previous prime is 2550619. The next prime is 2550641. The reversal of 2550624 is 4260552.

2550624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2550594 and 2550603.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 15567 + ... + 15729.

It is an arithmetic number, because the mean of its divisors is an integer number (187131).

2^2550624 is an apocalyptic number.

2550624 is a gapful number since it is divisible by the number (24) 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 2550624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368358).

2550624 is an abundant number, since it is smaller than the sum of its proper divisors (4186092).

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

2550624 is an equidigital number, since it uses as much as digits as its factorization.

2550624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2550624 is about 1597.0673122946. The cubic root of 2550624 is about 136.6308637790.

Multiplying 2550624 by its sum of digits (24), we get a square (61214976 = 7824²).

2550624 divided by its sum of digits (24) gives a square (106276 = 326²).

Multiplying 2550624 by its product of nonzero digits (2400), we get a square (6121497600 = 78240²).

The spelling of 2550624 in words is "two million, five hundred fifty thousand, six hundred twenty-four".