2287305120960 has 448 divisors, whose sum is σ = 8356829859840. Its totient is φ = 588328427520.

The previous prime is 2287305120949. The next prime is 2287305120967. The reversal of 2287305120960 is 690215037822.

2287305120960 is a `hidden beast` number, since 2 + 2 + 8 + 73 + 0 + 512 + 0 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2287305120967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82212972 + ... + 82240788.

It is an arithmetic number, because the mean of its divisors is an integer number (18653638080).

Almost surely, 2^{2287305120960} is an apocalyptic number.

2287305120960 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 2287305120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178414929920).

2287305120960 is an abundant number, since it is smaller than the sum of its proper divisors (6069524738880).

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

2287305120960 is a wasteful number, since it uses less digits than its factorization.

2287305120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28181 (or 28165 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2287305120960 in words is "two trillion, two hundred eighty-seven billion, three hundred five million, one hundred twenty thousand, nine hundred sixty".