2267286072480 has 2304 divisors, whose sum is σ = 10059846451200. Its totient is φ = 476876574720.

The previous prime is 2267286072463. The next prime is 2267286072517. The reversal of 2267286072480 is 842706827622.

2267286072480 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 2 + 8 + 607 + 24 + 8 + 0 = 666.

2267286072480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2267286072480² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17852646177 + ... + 17852646303.

It is an arithmetic number, because the mean of its divisors is an integer number (4366252800).

Almost surely, 2^{2267286072480} is an apocalyptic number.

2267286072480 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 2267286072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029923225600).

2267286072480 is an abundant number, since it is smaller than the sum of its proper divisors (7792560378720).

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

2267286072480 is a wasteful number, since it uses less digits than its factorization.

2267286072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 2267286072480 in words is "two trillion, two hundred sixty-seven billion, two hundred eighty-six million, seventy-two thousand, four hundred eighty".