2245793359680 has 448 divisors, whose sum is σ = 8713649710080. Its totient is φ = 541047472128.

The previous prime is 2245793359679. The next prime is 2245793359681. The reversal of 2245793359680 is 869533975422.

2245793359680 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 7 + 9 + 33 + 596 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2245793359679) and next prime (2245793359681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245793359681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5066332 + ... + 5491748.

It is an arithmetic number, because the mean of its divisors is an integer number (19450110960).

Almost surely, 2^{2245793359680} is an apocalyptic number.

2245793359680 is a gapful number since it is divisible by the number (20) 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 2245793359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356824855040).

2245793359680 is an abundant number, since it is smaller than the sum of its proper divisors (6467856350400).

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

2245793359680 is a wasteful number, since it uses less digits than its factorization.

2245793359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425503 (or 425487 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 2245793359680 in words is "two trillion, two hundred forty-five billion, seven hundred ninety-three million, three hundred fifty-nine thousand, six hundred eighty".