2245963584 has 56 divisors (see below), whose sum is σ = 5946343200. Its totient is φ = 748163584.

The previous prime is 2245963549. The next prime is 2245963589. The reversal of 2245963584 is 4853695422.

It is a happy number.

2245963584 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245963589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400222 + ... + 405794.

It is an arithmetic number, because the mean of its divisors is an integer number (106184700).

Almost surely, 2^2245963584 is an apocalyptic number.

2245963584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2245963584 is an abundant number, since it is smaller than the sum of its proper divisors (3700379616).

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

2245963584 is a wasteful number, since it uses less digits than its factorization.

2245963584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7687 (or 7677 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 2245963584 is about 47391.5982427265. The cubic root of 2245963584 is about 1309.5866426926.

The spelling of 2245963584 in words is "two billion, two hundred forty-five million, nine hundred sixty-three thousand, five hundred eighty-four".