2268510112080 has 240 divisors, whose sum is σ = 7902039862080. Its totient is φ = 604823998464.

The previous prime is 2268510111991. The next prime is 2268510112157. The reversal of 2268510112080 is 802110158622.

2268510112080 is a `hidden beast` number, since 2 + 2 + 68 + 510 + 1 + 1 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2268510112080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204678219 + ... + 204689301.

It is an arithmetic number, because the mean of its divisors is an integer number (32925166092).

Almost surely, 2^{2268510112080} is an apocalyptic number.

2268510112080 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 2268510112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951019931040).

2268510112080 is an abundant number, since it is smaller than the sum of its proper divisors (5633529750000).

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

2268510112080 is a wasteful number, since it uses less digits than its factorization.

2268510112080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21640 (or 21622 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 2268510112080 in words is "two trillion, two hundred sixty-eight billion, five hundred ten million, one hundred twelve thousand, eighty".