2286121569600 has 336 divisors, whose sum is σ = 8186469800256. Its totient is φ = 553924608000.

The previous prime is 2286121569559. The next prime is 2286121569617. The reversal of 2286121569600 is 69651216822.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2286121569600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112823470 + ... + 112843730.

Almost surely, 2^{2286121569600} is an apocalyptic number.

2286121569600 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 2286121569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093234900128).

2286121569600 is an abundant number, since it is smaller than the sum of its proper divisors (5900348230656).

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

2286121569600 is a wasteful number, since it uses less digits than its factorization.

2286121569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22434 (or 22419 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 2286121569600 in words is "two trillion, two hundred eighty-six billion, one hundred twenty-one million, five hundred sixty-nine thousand, six hundred".