2245760800 has 72 divisors (see below), whose sum is σ = 5490023616. Its totient is φ = 897066240.

The previous prime is 2245760791. The next prime is 2245760819. The reversal of 2245760800 is 80675422.

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, 772149 + ... + 775051.

It is an arithmetic number, because the mean of its divisors is an integer number (76250328).

Almost surely, 2^2245760800 is an apocalyptic number.

2245760800 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 2245760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745011808).

2245760800 is an abundant number, since it is smaller than the sum of its proper divisors (3244262816).

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

2245760800 is a wasteful number, since it uses less digits than its factorization.

2245760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2245760800 is about 47389.4587434801. The cubic root of 2245760800 is about 1309.5472281012.

The spelling of 2245760800 in words is "two billion, two hundred forty-five million, seven hundred sixty thousand, eight hundred".