2425200 has 120 divisors (see below), whose sum is σ = 8118528. Its totient is φ = 618240.

The previous prime is 2425193. The next prime is 2425207. The reversal of 2425200 is 25242.

It is an interprime number because it is at equal distance from previous prime (2425193) and next prime (2425207).

It is a tau number, because it is divible by the number of its divisors (120).

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 2425200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51577 + ... + 51623.

2^2425200 is an apocalyptic number.

2425200 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 2425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059264).

2425200 is an abundant number, since it is smaller than the sum of its proper divisors (5693328).

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

2425200 is a wasteful number, since it uses less digits than its factorization.

2425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2425200 is about 1557.3053650457. The cubic root of 2425200 is about 134.3535624716.

The spelling of 2425200 in words is "two million, four hundred twenty-five thousand, two hundred".