2250785843712 has 560 divisors, whose sum is σ = 7729650181440. Its totient is φ = 641102708736.

The previous prime is 2250785843699. The next prime is 2250785843717. The reversal of 2250785843712 is 2173485870522.

2250785843712 is a `hidden beast` number, since 2 + 2 + 50 + 7 + 8 + 584 + 3 + 7 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2250785843717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 990225808 + ... + 990228080.

Almost surely, 2^{2250785843712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250785843712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864825090720).

2250785843712 is an abundant number, since it is smaller than the sum of its proper divisors (5478864337728).

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

2250785843712 is an frugal number, since it uses more digits than its factorization.

2250785843712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 2250785843712 in words is "two trillion, two hundred fifty billion, seven hundred eighty-five million, eight hundred forty-three thousand, seven hundred twelve".