2245016592 has 480 divisors, whose sum is σ = 8319467520. Its totient is φ = 548674560.

The previous prime is 2245016563. The next prime is 2245016629. The reversal of 2245016592 is 2956105422.

2245016592 is a `hidden beast` number, since 2 + 2 + 4 + 50 + 16 + 592 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17677233 + ... + 17677359.

It is an arithmetic number, because the mean of its divisors is an integer number (17332224).

Almost surely, 2^2245016592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245016592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159733760).

2245016592 is an abundant number, since it is smaller than the sum of its proper divisors (6074450928).

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

2245016592 is a wasteful number, since it uses less digits than its factorization.

2245016592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2245016592 is about 47381.6060512938. The cubic root of 2245016592 is about 1309.4025580194.

The spelling of 2245016592 in words is "two billion, two hundred forty-five million, sixteen thousand, five hundred ninety-two".