2280436706304 has 440 divisors, whose sum is σ = 6898019542128. Its totient is φ = 750362296320.

The previous prime is 2280436706281. The next prime is 2280436706323. The reversal of 2280436706304 is 4036076340822.

2280436706304 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 4 + 3 + 6 + 7 + 0 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2280436706304.

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 39 ways as a sum of consecutive naturals, for example, 4377037564 + ... + 4377038084.

Almost surely, 2^{2280436706304} is an apocalyptic number.

2280436706304 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 2280436706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449009771064).

2280436706304 is an abundant number, since it is smaller than the sum of its proper divisors (4617582835824).

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

2280436706304 is a wasteful number, since it uses less digits than its factorization.

2280436706304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2280436706304 in words is "two trillion, two hundred eighty billion, four hundred thirty-six million, seven hundred six thousand, three hundred four".