2245264327680 has 1408 divisors, whose sum is σ = 8801725317120. Its totient is φ = 481998274560.

The previous prime is 2245264327639. The next prime is 2245264327711. The reversal of 2245264327680 is 867234625422.

It is a tau number, because it is divible by the number of its divisors (1408).

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 127 ways as a sum of consecutive naturals, for example, 3470269117 + ... + 3470269763.

Almost surely, 2^{2245264327680} is an apocalyptic number.

2245264327680 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 2245264327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400862658560).

2245264327680 is an abundant number, since it is smaller than the sum of its proper divisors (6556460989440).

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

2245264327680 is a wasteful number, since it uses less digits than its factorization.

2245264327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 2245264327680 in words is "two trillion, two hundred forty-five billion, two hundred sixty-four million, three hundred twenty-seven thousand, six hundred eighty".