2280680962560 has 3840 divisors, whose sum is σ = 11764901998080. Its totient is φ = 410234388480.

The previous prime is 2280680962559. The next prime is 2280680962583. The reversal of 2280680962560 is 652690860822.

2280680962560 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 6 + 8 + 0 + 9 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2280680962497 and 2280680962506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8233505142 + ... + 8233505418.

It is an arithmetic number, because the mean of its divisors is an integer number (3063776562).

Almost surely, 2^{2280680962560} is an apocalyptic number.

2280680962560 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 2280680962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882450999040).

2280680962560 is an abundant number, since it is smaller than the sum of its proper divisors (9484221035520).

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

2280680962560 is a wasteful number, since it uses less digits than its factorization.

2280680962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2280680962560 in words is "two trillion, two hundred eighty billion, six hundred eighty million, nine hundred sixty-two thousand, five hundred sixty".