2287775964672 has 960 divisors, whose sum is σ = 7866284025600. Its totient is φ = 657341153280.

The previous prime is 2287775964619. The next prime is 2287775964689. The reversal of 2287775964672 is 2764695777822.

2287775964672 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 7 + 75 + 96 + 467 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2287775964672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2341633048 + ... + 2341634024.

It is an arithmetic number, because the mean of its divisors is an integer number (8194045860).

Almost surely, 2^{2287775964672} is an apocalyptic number.

2287775964672 is a gapful number since it is divisible by the number (22) 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 2287775964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933142012800).

2287775964672 is an abundant number, since it is smaller than the sum of its proper divisors (5578508060928).

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

2287775964672 is an equidigital number, since it uses as much as digits as its factorization.

2287775964672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1081 counting only the distinct ones).

The product of its digits is 995742720, while the sum is 72.

The spelling of 2287775964672 in words is "two trillion, two hundred eighty-seven billion, seven hundred seventy-five million, nine hundred sixty-four thousand, six hundred seventy-two".