2245646592 has 324 divisors, whose sum is σ = 7724161536. Its totient is φ = 638254080.

The previous prime is 2245646591. The next prime is 2245646621. The reversal of 2245646592 is 2956465422.

2245646592 is a `hidden beast` number, since 2 + 2 + 4 + 56 + 4 + 6 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×2245646592² = 10085857232322428928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2245646591) 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 35 ways as a sum of consecutive naturals, for example, 11757217 + ... + 11757407.

Almost surely, 2^2245646592 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 2245646592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862080768).

2245646592 is an abundant number, since it is smaller than the sum of its proper divisors (5478514944).

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

2245646592 is an frugal number, since it uses more digits than its factorization.

2245646592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 203 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2245646592 is about 47388.2537344435. The cubic root of 2245646592 is about 1309.5250287490.

The spelling of 2245646592 in words is "two billion, two hundred forty-five million, six hundred forty-six thousand, five hundred ninety-two".