2245074720 has 384 divisors, whose sum is σ = 8494295040. Its totient is φ = 487710720.

The previous prime is 2245074673. The next prime is 2245074721. The reversal of 2245074720 is 274705422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2245074721) 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 63 ways as a sum of consecutive naturals, for example, 5923491 + ... + 5923869.

It is an arithmetic number, because the mean of its divisors is an integer number (22120560).

Almost surely, 2^2245074720 is an apocalyptic number.

2245074720 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 2245074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247147520).

2245074720 is an abundant number, since it is smaller than the sum of its proper divisors (6249220320).

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

2245074720 is a wasteful number, since it uses less digits than its factorization.

2245074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 2245074720 is about 47382.2194499160. The cubic root of 2245074720 is about 1309.4138589448.

The spelling of 2245074720 in words is "two billion, two hundred forty-five million, seventy-four thousand, seven hundred twenty".