2245864320 has 384 divisors, whose sum is σ = 9195863040. Its totient is φ = 513091584.

The previous prime is 2245864301. The next prime is 2245864331. The reversal of 2245864320 is 234685422.

2245864320 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 8 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087609 + ... + 1089671.

It is an arithmetic number, because the mean of its divisors is an integer number (23947560).

Almost surely, 2^2245864320 is an apocalyptic number.

2245864320 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 2245864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597931520).

2245864320 is an abundant number, since it is smaller than the sum of its proper divisors (6949998720).

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

2245864320 is an equidigital number, since it uses as much as digits as its factorization.

2245864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2245864320 is about 47390.5509569155. The cubic root of 2245864320 is about 1309.5673493071.

The spelling of 2245864320 in words is "two billion, two hundred forty-five million, eight hundred sixty-four thousand, three hundred twenty".