2287745323200 has 504 divisors, whose sum is σ = 8187249326256. Its totient is φ = 605875200000.

The previous prime is 2287745323181. The next prime is 2287745323211. The reversal of 2287745323200 is 23235477822.

2287745323200 is a `hidden beast` number, since 2 + 2 + 87 + 7 + 4 + 532 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1666237714 + ... + 1666239086.

It is an arithmetic number, because the mean of its divisors is an integer number (16244542314).

Almost surely, 2^{2287745323200} is an apocalyptic number.

2287745323200 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 2287745323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093624663128).

2287745323200 is an abundant number, since it is smaller than the sum of its proper divisors (5899504003056).

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

2287745323200 is a wasteful number, since it uses less digits than its factorization.

2287745323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 2287745323200 in words is "two trillion, two hundred eighty-seven billion, seven hundred forty-five million, three hundred twenty-three thousand, two hundred".