2245603680 has 72 divisors (see below), whose sum is σ = 7663127472. Its totient is φ = 598827264.

The previous prime is 2245603669. The next prime is 2245603681. The reversal of 2245603680 is 863065422.

2245603680 is a `hidden beast` number, since 2 + 2 + 45 + 603 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (2245603681) 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 11 ways as a sum of consecutive naturals, for example, 778284 + ... + 781163.

It is an arithmetic number, because the mean of its divisors is an integer number (106432326).

Almost surely, 2^2245603680 is an apocalyptic number.

2245603680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245603680 is an abundant number, since it is smaller than the sum of its proper divisors (5417523792).

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

2245603680 is a wasteful number, since it uses less digits than its factorization.

2245603680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559468 (or 1559457 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2245603680 is about 47387.8009618509. The cubic root of 2245603680 is about 1309.5166874697.

The spelling of 2245603680 in words is "two billion, two hundred forty-five million, six hundred three thousand, six hundred eighty".