2245025664 has 192 divisors, whose sum is σ = 7425600000. Its totient is φ = 637756416.

The previous prime is 2245025663. The next prime is 2245025669. The reversal of 2245025664 is 4665205422.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245025663) 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 23 ways as a sum of consecutive naturals, for example, 1604037 + ... + 1605435.

It is an arithmetic number, because the mean of its divisors is an integer number (38675000).

Almost surely, 2^2245025664 is an apocalyptic number.

2245025664 is a gapful number since it is divisible by the number (24) 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 2245025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712800000).

2245025664 is an abundant number, since it is smaller than the sum of its proper divisors (5180574336).

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

2245025664 is a wasteful number, since it uses less digits than its factorization.

2245025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2245025664 is about 47381.7017845497. The cubic root of 2245025664 is about 1309.4043217605.

The spelling of 2245025664 in words is "two billion, two hundred forty-five million, twenty-five thousand, six hundred sixty-four".