2445600 has 72 divisors (see below), whose sum is σ = 7968240. Its totient is φ = 651520.

The previous prime is 2445581. The next prime is 2445601. The reversal of 2445600 is 65442.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (2445601) 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 11 ways as a sum of consecutive naturals, for example, 1891 + ... + 2909.

It is an arithmetic number, because the mean of its divisors is an integer number (110670).

2^2445600 is an apocalyptic number.

2445600 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 2445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984120).

2445600 is an abundant number, since it is smaller than the sum of its proper divisors (5522640).

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

2445600 is a wasteful number, since it uses less digits than its factorization.

2445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2445600 is about 1563.8414241860. The cubic root of 2445600 is about 134.7292240587.

The spelling of 2445600 in words is "two million, four hundred forty-five thousand, six hundred".