2268128640960 has 1344 divisors, whose sum is σ = 10227663194112. Its totient is φ = 465562681344.

The previous prime is 2268128640941. The next prime is 2268128640979. The reversal of 2268128640960 is 690468218622.

2268128640960 is a `hidden beast` number, since 2 + 26 + 81 + 2 + 86 + 409 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2268128640941) and next prime (2268128640979).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2268128640897 and 2268128640906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 261813589 + ... + 261822251.

It is an arithmetic number, because the mean of its divisors is an integer number (7609868448).

Almost surely, 2^{2268128640960} is an apocalyptic number.

2268128640960 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 2268128640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5113831597056).

2268128640960 is an abundant number, since it is smaller than the sum of its proper divisors (7959534553152).

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

2268128640960 is a wasteful number, since it uses less digits than its factorization.

2268128640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752 (or 8730 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2268128640960 in words is "two trillion, two hundred sixty-eight billion, one hundred twenty-eight million, six hundred forty thousand, nine hundred sixty".