2245080240 has 400 divisors, whose sum is σ = 8696318400. Its totient is φ = 532998144.

The previous prime is 2245080221. The next prime is 2245080247. The reversal of 2245080240 is 420805422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2245080247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2442501 + ... + 2443419.

It is an arithmetic number, because the mean of its divisors is an integer number (21740796).

Almost surely, 2^2245080240 is an apocalyptic number.

2245080240 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 2245080240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348159200).

2245080240 is an abundant number, since it is smaller than the sum of its proper divisors (6451238160).

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

2245080240 is a wasteful number, since it uses less digits than its factorization.

2245080240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2245080240 is about 47382.2776995788. The cubic root of 2245080240 is about 1309.4149321026.

Adding to 2245080240 its reverse (420805422), we get a palindrome (2665885662).

The spelling of 2245080240 in words is "two billion, two hundred forty-five million, eighty thousand, two hundred forty".