2559200 has 72 divisors (see below), whose sum is σ = 7155792. Its totient is φ = 875520.

The previous prime is 2559191. The next prime is 2559223. The reversal of 2559200 is 29552.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5372 + ... + 5828.

It is an arithmetic number, because the mean of its divisors is an integer number (99386).

2^2559200 is an apocalyptic number.

2559200 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 2559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577896).

2559200 is an abundant number, since it is smaller than the sum of its proper divisors (4596592).

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

2559200 is a wasteful number, since it uses less digits than its factorization.

2559200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 2559200 is about 1599.7499804657. The cubic root of 2559200 is about 136.7838244500.

The spelling of 2559200 in words is "two million, five hundred fifty-nine thousand, two hundred".