2445205200 has 240 divisors, whose sum is σ = 8422050240. Its totient is φ = 604200960.

The previous prime is 2445205193. The next prime is 2445205207. The reversal of 2445205200 is 25025442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2445205193) and next prime (2445205207).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2445205207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1365906 + ... + 1367694.

It is an arithmetic number, because the mean of its divisors is an integer number (35091876).

Almost surely, 2^2445205200 is an apocalyptic number.

2445205200 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 2445205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211025120).

2445205200 is an abundant number, since it is smaller than the sum of its proper divisors (5976845040).

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

2445205200 is a wasteful number, since it uses less digits than its factorization.

2445205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2445205200 is about 49449.0161681706. The cubic root of 2445205200 is about 1347.2197376430.

The spelling of 2445205200 in words is "two billion, four hundred forty-five million, two hundred five thousand, two hundred".