2260396321344 has 1120 divisors, whose sum is σ = 8446352302080. Its totient is φ = 583462268928.

The previous prime is 2260396321343. The next prime is 2260396321349. The reversal of 2260396321344 is 4431236930622.

2260396321344 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 3 + 9 + 632 + 1 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2260396321344.

It is not an unprimeable number, because it can be changed into a prime (2260396321343) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1137591519 + ... + 1137593505.

It is an arithmetic number, because the mean of its divisors is an integer number (7541385984).

Almost surely, 2^{2260396321344} is an apocalyptic number.

2260396321344 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 2260396321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223176151040).

2260396321344 is an abundant number, since it is smaller than the sum of its proper divisors (6185955980736).

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

2260396321344 is a wasteful number, since it uses less digits than its factorization.

2260396321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 2260396321344 in words is "two trillion, two hundred sixty billion, three hundred ninety-six million, three hundred twenty-one thousand, three hundred forty-four".