2245564832 has 48 divisors (see below), whose sum is σ = 5082860160. Its totient is φ = 956606208.

The previous prime is 2245564787. The next prime is 2245564847. The reversal of 2245564832 is 2384655422.

It is a happy number.

It is a super-2 number, since 2×2245564832² = 10085122829430376448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2245564832.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7394 + ... + 67422.

It is an arithmetic number, because the mean of its divisors is an integer number (105892920).

Almost surely, 2^2245564832 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 2245564832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541430080).

2245564832 is an abundant number, since it is smaller than the sum of its proper divisors (2837295328).

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

2245564832 is a wasteful number, since it uses less digits than its factorization.

2245564832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60213 (or 60205 counting only the distinct ones).

The product of its digits is 460800, while the sum is 41.

The square root of 2245564832 is about 47387.3910655567. The cubic root of 2245564832 is about 1309.5091360634.

The spelling of 2245564832 in words is "two billion, two hundred forty-five million, five hundred sixty-four thousand, eight hundred thirty-two".