2280968794440 has 768 divisors, whose sum is σ = 9547512768000. Its totient is φ = 481492408320.

The previous prime is 2280968794397. The next prime is 2280968794441. The reversal of 2280968794440 is 444978690822.

2280968794440 is a `hidden beast` number, since 2 + 28 + 0 + 9 + 6 + 87 + 94 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2280968794441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35265330 + ... + 35329950.

It is an arithmetic number, because the mean of its divisors is an integer number (12431657250).

Almost surely, 2^{2280968794440} is an apocalyptic number.

2280968794440 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 2280968794440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773756384000).

2280968794440 is an abundant number, since it is smaller than the sum of its proper divisors (7266543973560).

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

2280968794440 is a wasteful number, since it uses less digits than its factorization.

2280968794440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64707 (or 64690 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 2280968794440 in words is "two trillion, two hundred eighty billion, nine hundred sixty-eight million, seven hundred ninety-four thousand, four hundred forty".