2269798446240 has 480 divisors, whose sum is σ = 8642215224720. Its totient is φ = 557714128896.

The previous prime is 2269798446199. The next prime is 2269798446341. The reversal of 2269798446240 is 426448979622.

2269798446240 is a `hidden beast` number, since 2 + 2 + 6 + 97 + 9 + 84 + 462 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 179264172816 + 2090534273424 = 423396^2 + 1445868^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95853282 + ... + 95876958.

Almost surely, 2^{2269798446240} is an apocalyptic number.

2269798446240 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 2269798446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321107612360).

2269798446240 is an abundant number, since it is smaller than the sum of its proper divisors (6372416778480).

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

2269798446240 is a wasteful number, since it uses less digits than its factorization.

2269798446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24286 (or 24269 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 2269798446240 in words is "two trillion, two hundred sixty-nine billion, seven hundred ninety-eight million, four hundred forty-six thousand, two hundred forty".