2026178945280 has 1296 divisors, whose sum is σ = 8903326985280. Its totient is φ = 438688825344.

The previous prime is 2026178945269. The next prime is 2026178945281. The reversal of 2026178945280 is 825498716202.

2026178945280 is a `hidden beast` number, since 2 + 0 + 26 + 1 + 7 + 8 + 94 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×2026178945280² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2026178945281) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 289574742 + ... + 289581738.

Almost surely, 2^{2026178945280} is an apocalyptic number.

2026178945280 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 2026178945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451663492640).

2026178945280 is an abundant number, since it is smaller than the sum of its proper divisors (6877148040000).

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

2026178945280 is an equidigital number, since it uses as much as digits as its factorization.

2026178945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2026178945280 in words is "two trillion, twenty-six billion, one hundred seventy-eight million, nine hundred forty-five thousand, two hundred eighty".